245752379136 has 576 divisors, whose sum is σ = 838739865600. Its totient is φ = 70195507200.

The previous prime is 245752379129. The next prime is 245752379167. The reversal of 245752379136 is 631973257542.

245752379136 is a `hidden beast` number, since 2 + 4 + 575 + 2 + 37 + 9 + 1 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 449272815 + ... + 449273361.

It is an arithmetic number, because the mean of its divisors is an integer number (1456145600).

Almost surely, 2^245752379136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245752379136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419369932800).

245752379136 is an abundant number, since it is smaller than the sum of its proper divisors (592987486464).

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

245752379136 is a wasteful number, since it uses less digits than its factorization.

245752379136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 893 counting only the distinct ones).

The product of its digits is 9525600, while the sum is 54.

The spelling of 245752379136 in words is "two hundred forty-five billion, seven hundred fifty-two million, three hundred seventy-nine thousand, one hundred thirty-six".