164415566256004 has 48 divisors (see below), whose sum is σ = 348530511958272. Its totient is φ = 66251003553792.

The previous prime is 164415566255933. The next prime is 164415566256091. The reversal of 164415566256004 is 400652665514461.

It is a super-3 number, since 3×164415566256004³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176306112 + ... + 177236215.

It is an arithmetic number, because the mean of its divisors is an integer number (7261052332464).

Almost surely, 2^{164415566256004} is an apocalyptic number.

164415566256004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

164415566256004 is an abundant number, since it is smaller than the sum of its proper divisors (184114945702268).

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

164415566256004 is a wasteful number, since it uses less digits than its factorization.

164415566256004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353543332 (or 353543330 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 55.

The spelling of 164415566256004 in words is "one hundred sixty-four trillion, four hundred fifteen billion, five hundred sixty-six million, two hundred fifty-six thousand, four".