396654112512 has 900 divisors, whose sum is σ = 1429845337536. Its totient is φ = 109247201280.

The previous prime is 396654112499. The next prime is 396654112537. The reversal of 396654112512 is 215211456693.

It is a happy number.

396654112512 is a `hidden beast` number, since 3 + 96 + 6 + 5 + 41 + 1 + 2 + 512 = 666.

Its product of digits (388800) is a multiple of the sum of its prime divisors (300).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 1543401088 + ... + 1543401344.

Almost surely, 2^396654112512 is an apocalyptic number.

396654112512 is a gapful number since it is divisible by the number (32) 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 396654112512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714922668768).

396654112512 is an abundant number, since it is smaller than the sum of its proper divisors (1033191225024).

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

396654112512 is an frugal number, since it uses more digits than its factorization.

396654112512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 300 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 396654112512 in words is "three hundred ninety-six billion, six hundred fifty-four million, one hundred twelve thousand, five hundred twelve".