245788935904512 has 2592 divisors, whose sum is σ = 1033864813013760. Its totient is φ = 54462755635200.

The previous prime is 245788935904511. The next prime is 245788935904517. The reversal of 245788935904512 is 215409539887542.

It is a happy number.

245788935904512 is a `hidden beast` number, since 2 + 4 + 5 + 7 + 8 + 89 + 3 + 5 + 90 + 451 + 2 = 666.

245788935904512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245788935904511) 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, 19762712758 + ... + 19762725194.

Almost surely, 2^{245788935904512} is an apocalyptic number.

245788935904512 is a gapful number since it is divisible by the number (22) 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 245788935904512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516932406506880).

245788935904512 is an abundant number, since it is smaller than the sum of its proper divisors (788075877109248).

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

245788935904512 is a wasteful number, since it uses less digits than its factorization.

245788935904512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12561 (or 12533 counting only the distinct ones).

The product of its (nonzero) digits is 870912000, while the sum is 72.

The spelling of 245788935904512 in words is "two hundred forty-five trillion, seven hundred eighty-eight billion, nine hundred thirty-five million, nine hundred four thousand, five hundred twelve".