189909746104320 has 1440 divisors, whose sum is σ = 749754327001680. Its totient is φ = 45943278796800.

The previous prime is 189909746104319. The next prime is 189909746104343. The reversal of 189909746104320 is 23401647909981.

189909746104320 is a `hidden beast` number, since 1 + 8 + 9 + 9 + 0 + 9 + 7 + 4 + 610 + 4 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 56503939440 + ... + 56503942800.

Almost surely, 2^{189909746104320} is an apocalyptic number.

189909746104320 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 189909746104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374877163500840).

189909746104320 is an abundant number, since it is smaller than the sum of its proper divisors (559844580897360).

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

189909746104320 is a wasteful number, since it uses less digits than its factorization.

189909746104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3985 (or 3945 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 189909746104320 in words is "one hundred eighty-nine trillion, nine hundred nine billion, seven hundred forty-six million, one hundred four thousand, three hundred twenty".