398356862112 has 180 divisors, whose sum is σ = 1287744897978. Its totient is φ = 120714105600.

The previous prime is 398356862083. The next prime is 398356862117. The reversal of 398356862112 is 211268653893.

398356862112 is a `hidden beast` number, since 3 + 9 + 8 + 3 + 5 + 6 + 8 + 621 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 343954098576 + 54402763536 = 586476^2 + 233244^2 .

It is a super-2 number, since 2×398356862112² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (398356862117) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 321439 + ... + 948702.

Almost surely, 2^398356862112 is an apocalyptic number.

398356862112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

398356862112 is an abundant number, since it is smaller than the sum of its proper divisors (889388035866).

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

398356862112 is a wasteful number, since it uses less digits than its factorization.

398356862112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270185 (or 1270157 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 398356862112 in words is "three hundred ninety-eight billion, three hundred fifty-six million, eight hundred sixty-two thousand, one hundred twelve".