189786972456 has 128 divisors (see below), whose sum is σ = 555324672000. Its totient is φ = 59890394304.

The previous prime is 189786972449. The next prime is 189786972457. The reversal of 189786972456 is 654279687981.

189786972456 is a `hidden beast` number, since 1 + 8 + 9 + 7 + 86 + 97 + 2 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (189786972457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6070641 + ... + 6101823.

It is an arithmetic number, because the mean of its divisors is an integer number (4338474000).

Almost surely, 2^189786972456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189786972456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277662336000).

189786972456 is an abundant number, since it is smaller than the sum of its proper divisors (365537699544).

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

189786972456 is a wasteful number, since it uses less digits than its factorization.

189786972456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32700 (or 32690 counting only the distinct ones).

The product of its digits is 365783040, while the sum is 72.

The spelling of 189786972456 in words is "one hundred eighty-nine billion, seven hundred eighty-six million, nine hundred seventy-two thousand, four hundred fifty-six".