396945478936512 has 2240 divisors, whose sum is σ = 1416132081745920. Its totient is φ = 108637562880000.

The previous prime is 396945478936469. The next prime is 396945478936609. The reversal of 396945478936512 is 215639874549693.

396945478936512 is a `hidden beast` number, since 3 + 9 + 6 + 9 + 4 + 5 + 4 + 7 + 8 + 93 + 6 + 512 = 666.

It is a super-2 number, since 2×396945478936512² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 400550432337 + ... + 400550433327.

It is an arithmetic number, because the mean of its divisors is an integer number (632201822208).

Almost surely, 2^{396945478936512} is an apocalyptic number.

396945478936512 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 396945478936512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708066040872960).

396945478936512 is an abundant number, since it is smaller than the sum of its proper divisors (1019186602809408).

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

396945478936512 is a wasteful number, since it uses less digits than its factorization.

396945478936512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1265 counting only the distinct ones).

The product of its digits is 10581580800, while the sum is 81.

The spelling of 396945478936512 in words is "three hundred ninety-six trillion, nine hundred forty-five billion, four hundred seventy-eight million, nine hundred thirty-six thousand, five hundred twelve".