398844712114560 has 192 divisors, whose sum is σ = 1383171641074080. Its totient is φ = 105902114906112.

The previous prime is 398844712114547. The next prime is 398844712114577. The reversal of 398844712114560 is 65411217448893.

It is a happy number.

398844712114560 is a `hidden beast` number, since 3 + 9 + 8 + 8 + 4 + 47 + 1 + 21 + 1 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147249924 + ... + 149934083.

It is a 1-persistent number, because it is pandigital, but 2⋅398844712114560 = 797689424229120 is not.

Almost surely, 2^{398844712114560} is an apocalyptic number.

398844712114560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

398844712114560 is an abundant number, since it is smaller than the sum of its proper divisors (984326928959520).

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

398844712114560 is a wasteful number, since it uses less digits than its factorization.

398844712114560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297184265 (or 297184250 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 398844712114560 in words is "three hundred ninety-eight trillion, eight hundred forty-four billion, seven hundred twelve million, one hundred fourteen thousand, five hundred sixty".