468602881324032 has 1408 divisors, whose sum is σ = 1576125439257600. Its totient is φ = 120509027057664.

The previous prime is 468602881324003. The next prime is 468602881324099. The reversal of 468602881324032 is 230423188206864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 920634344194 + ... + 920634344702.

It is an arithmetic number, because the mean of its divisors is an integer number (1119407272200).

Almost surely, 2^{468602881324032} is an apocalyptic number.

468602881324032 is a gapful number since it is divisible by the number (42) 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 468602881324032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788062719628800).

468602881324032 is an abundant number, since it is smaller than the sum of its proper divisors (1107522557933568).

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

468602881324032 is a wasteful number, since it uses less digits than its factorization.

468602881324032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 57.

The spelling of 468602881324032 in words is "four hundred sixty-eight trillion, six hundred two billion, eight hundred eighty-one million, three hundred twenty-four thousand, thirty-two".