188429979400320 has 384 divisors, whose sum is σ = 700210061170560. Its totient is φ = 42975455330304.

The previous prime is 188429979400301. The next prime is 188429979400343. The reversal of 188429979400320 is 23004979924881.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×188429979400320² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40803237 + ... + 45185883.

It is an arithmetic number, because the mean of its divisors is an integer number (1823463700965).

Almost surely, 2^{188429979400320} is an apocalyptic number.

188429979400320 is a gapful number since it is divisible by the number (10) 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 188429979400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350105030585280).

188429979400320 is an abundant number, since it is smaller than the sum of its proper divisors (511780081770240).

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

188429979400320 is a wasteful number, since it uses less digits than its factorization.

188429979400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4383140 (or 4383121 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 66.

The spelling of 188429979400320 in words is "one hundred eighty-eight trillion, four hundred twenty-nine billion, nine hundred seventy-nine million, four hundred thousand, three hundred twenty".