245260004580864 has 2880 divisors, whose sum is σ = 956051108812800. Its totient is φ = 60135902281728.

The previous prime is 245260004580863. The next prime is 245260004580887. The reversal of 245260004580864 is 468085400062542.

245260004580864 is a `hidden beast` number, since 2 + 4 + 52 + 6 + 0 + 0 + 0 + 4 + 580 + 8 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 245260004580864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245260004580863) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1071004386702 + ... + 1071004386930.

It is an arithmetic number, because the mean of its divisors is an integer number (331962190560).

Almost surely, 2^{245260004580864} is an apocalyptic number.

245260004580864 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 245260004580864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478025554406400).

245260004580864 is an abundant number, since it is smaller than the sum of its proper divisors (710791104231936).

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

245260004580864 is a wasteful number, since it uses less digits than its factorization.

245260004580864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 245260004580864 in words is "two hundred forty-five trillion, two hundred sixty billion, four million, five hundred eighty thousand, eight hundred sixty-four".