189166226990400 has 3360 divisors, whose sum is σ = 815751084589056. Its totient is φ = 42535342080000.

The previous prime is 189166226990371. The next prime is 189166226990431. The reversal of 189166226990400 is 4099622661981.

189166226990400 is a `hidden beast` number, since 1 + 8 + 9 + 1 + 66 + 22 + 69 + 90 + 400 = 666.

It is a super-2 number, since 2×189166226990400² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 299787998085 + ... + 299787998715.

Almost surely, 2^{189166226990400} is an apocalyptic number.

189166226990400 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 189166226990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407875542294528).

189166226990400 is an abundant number, since it is smaller than the sum of its proper divisors (626584857598656).

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

189166226990400 is a wasteful number, since it uses less digits than its factorization.

189166226990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 189166226990400 in words is "one hundred eighty-nine trillion, one hundred sixty-six billion, two hundred twenty-six million, nine hundred ninety thousand, four hundred".