189440125056 has 1536 divisors, whose sum is σ = 766464491520. Its totient is φ = 45148078080.

The previous prime is 189440125033. The next prime is 189440125079. The reversal of 189440125056 is 650521044981.

189440125056 is a `hidden beast` number, since 1 + 8 + 94 + 40 + 12 + 505 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (189440125033) and next prime (189440125079).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1491654465 + ... + 1491654591.

It is an arithmetic number, because the mean of its divisors is an integer number (499000320).

Almost surely, 2^189440125056 is an apocalyptic number.

189440125056 is a gapful number since it is divisible by the number (16) 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 189440125056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383232245760).

189440125056 is an abundant number, since it is smaller than the sum of its proper divisors (577024366464).

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

189440125056 is a wasteful number, since it uses less digits than its factorization.

189440125056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 189440125056 in words is "one hundred eighty-nine billion, four hundred forty million, one hundred twenty-five thousand, fifty-six".