245139580224 has 1008 divisors, whose sum is σ = 937215377280. Its totient is φ = 62589542400.

The previous prime is 245139580207. The next prime is 245139580229. The reversal of 245139580224 is 422085931542.

245139580224 is a `hidden beast` number, since 2 + 45 + 1 + 3 + 9 + 580 + 2 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-4 number, since 4×245139580224⁴ (a number of 47 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 245139580224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245139580229) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 727416984 + ... + 727417320.

It is an arithmetic number, because the mean of its divisors is an integer number (929777160).

Almost surely, 2^245139580224 is an apocalyptic number.

245139580224 is a gapful number since it is divisible by the number (24) 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 245139580224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468607688640).

245139580224 is an abundant number, since it is smaller than the sum of its proper divisors (692075797056).

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

245139580224 is a wasteful number, since it uses less digits than its factorization.

245139580224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 245139580224 in words is "two hundred forty-five billion, one hundred thirty-nine million, five hundred eighty thousand, two hundred twenty-four".