245996469083232 has 960 divisors, whose sum is σ = 880756141224960. Its totient is φ = 65793246105600.

The previous prime is 245996469083221. The next prime is 245996469083257. The reversal of 245996469083232 is 232380964699542.

245996469083232 is a `hidden beast` number, since 2 + 4 + 59 + 9 + 6 + 469 + 0 + 83 + 2 + 32 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9796350357 + ... + 9796375467.

It is an arithmetic number, because the mean of its divisors is an integer number (917454313776).

Almost surely, 2^{245996469083232} 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 245996469083232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440378070612480).

245996469083232 is an abundant number, since it is smaller than the sum of its proper divisors (634759672141728).

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

245996469083232 is a wasteful number, since it uses less digits than its factorization.

245996469083232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25497 (or 25480 counting only the distinct ones).

The product of its (nonzero) digits is 1209323520, while the sum is 72.

The spelling of 245996469083232 in words is "two hundred forty-five trillion, nine hundred ninety-six billion, four hundred sixty-nine million, eighty-three thousand, two hundred thirty-two".