245429728524288 has 2688 divisors, whose sum is σ = 948321300326400. Its totient is φ = 61627126579200.

The previous prime is 245429728524287. The next prime is 245429728524313. The reversal of 245429728524288 is 882425827924542.

It is a happy number.

245429728524288 is a `hidden beast` number, since 2 + 4 + 5 + 4 + 2 + 9 + 72 + 8 + 524 + 28 + 8 = 666.

245429728524288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (1651507200) is a multiple of the sum of its prime divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245429728524287) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 647571842883 + ... + 647571843261.

It is an arithmetic number, because the mean of its divisors is an integer number (352798102800).

Almost surely, 2^{245429728524288} is an apocalyptic number.

245429728524288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245429728524288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474160650163200).

245429728524288 is an abundant number, since it is smaller than the sum of its proper divisors (702891571802112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

245429728524288 is a wasteful number, since it uses less digits than its factorization.

245429728524288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 576 counting only the distinct ones).

The product of its digits is 1651507200, while the sum is 72.

The spelling of 245429728524288 in words is "two hundred forty-five trillion, four hundred twenty-nine billion, seven hundred twenty-eight million, five hundred twenty-four thousand, two hundred eighty-eight".