188704812672 has 256 divisors, whose sum is σ = 562157251200. Its totient is φ = 62315495424.

The previous prime is 188704812661. The next prime is 188704812691. The reversal of 188704812672 is 276218407881.

188704812672 is a `hidden beast` number, since 1 + 8 + 8 + 70 + 481 + 26 + 72 = 666.

It is a super-2 number, since 2×188704812672² (a number of 23 digits) contains 22 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 327044448 + ... + 327045024.

Almost surely, 2^188704812672 is an apocalyptic number.

188704812672 is a gapful number since it is divisible by the number (12) 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 188704812672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281078625600).

188704812672 is an abundant number, since it is smaller than the sum of its proper divisors (373452438528).

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

188704812672 is a wasteful number, since it uses less digits than its factorization.

188704812672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 188704812672 in words is "one hundred eighty-eight billion, seven hundred four million, eight hundred twelve thousand, six hundred seventy-two".