164213125560624 has 160 divisors (see below), whose sum is σ = 506138890752000. Its totient is φ = 44884574364672.

The previous prime is 164213125560577. The next prime is 164213125560647. The reversal of 164213125560624 is 426065521312461.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76244064 + ... + 78368255.

It is an arithmetic number, because the mean of its divisors is an integer number (3163368067200).

Almost surely, 2^{164213125560624} is an apocalyptic number.

164213125560624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

164213125560624 is an abundant number, since it is smaller than the sum of its proper divisors (341925765191376).

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

164213125560624 is a wasteful number, since it uses less digits than its factorization.

164213125560624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154612475 (or 154612469 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 164213125560624 in words is "one hundred sixty-four trillion, two hundred thirteen billion, one hundred twenty-five million, five hundred sixty thousand, six hundred twenty-four".