189035564256 has 864 divisors, whose sum is σ = 723608121600. Its totient is φ = 45345484800.

The previous prime is 189035564251. The next prime is 189035564273. The reversal of 189035564256 is 652465530981.

189035564256 is a `hidden beast` number, since 1 + 89 + 0 + 3 + 556 + 4 + 2 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189035564251) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2123995060 + ... + 2123995148.

It is an arithmetic number, because the mean of its divisors is an integer number (837509400).

Almost surely, 2^189035564256 is an apocalyptic number.

189035564256 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 189035564256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361804060800).

189035564256 is an abundant number, since it is smaller than the sum of its proper divisors (534572557344).

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

189035564256 is a wasteful number, since it uses less digits than its factorization.

189035564256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 189035564256 in words is "one hundred eighty-nine billion, thirty-five million, five hundred sixty-four thousand, two hundred fifty-six".