468583837964928 has 3456 divisors, whose sum is σ = 1798907131607040. Its totient is φ = 120898087833600.

The previous prime is 468583837964917. The next prime is 468583837964971. The reversal of 468583837964928 is 829469738385864.

468583837964928 is a `hidden beast` number, since 4 + 6 + 8 + 5 + 83 + 8 + 37 + 9 + 6 + 492 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1415661141723 + ... + 1415661142053.

It is an arithmetic number, because the mean of its divisors is an integer number (520517109840).

Almost surely, 2^{468583837964928} is an apocalyptic number.

468583837964928 is a gapful number since it is divisible by the number (48) 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 468583837964928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899453565803520).

468583837964928 is an abundant number, since it is smaller than the sum of its proper divisors (1330323293642112).

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

468583837964928 is a wasteful number, since it uses less digits than its factorization.

468583837964928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 476 counting only the distinct ones).

The product of its digits is 120394874880, while the sum is 90.

The spelling of 468583837964928 in words is "four hundred sixty-eight trillion, five hundred eighty-three billion, eight hundred thirty-seven million, nine hundred sixty-four thousand, nine hundred twenty-eight".