245704481568 has 1152 divisors, whose sum is σ = 933682982400. Its totient is φ = 61487382528.

The previous prime is 245704481521. The next prime is 245704481579. The reversal of 245704481568 is 865184407542.

245704481568 is a `hidden beast` number, since 2 + 4 + 5 + 70 + 4 + 4 + 8 + 1 + 568 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2760724468 + ... + 2760724556.

It is an arithmetic number, because the mean of its divisors is an integer number (810488700).

Almost surely, 2^245704481568 is an apocalyptic number.

245704481568 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 245704481568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466841491200).

245704481568 is an abundant number, since it is smaller than the sum of its proper divisors (687978500832).

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

245704481568 is a wasteful number, since it uses less digits than its factorization.

245704481568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 245704481568 in words is "two hundred forty-five billion, seven hundred four million, four hundred eighty-one thousand, five hundred sixty-eight".