189408085776 has 480 divisors, whose sum is σ = 682161457920. Its totient is φ = 49259778048.

The previous prime is 189408085753. The next prime is 189408085777. The reversal of 189408085776 is 677580804981.

189408085776 is a `hidden beast` number, since 1 + 89 + 408 + 0 + 85 + 7 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (189408085777) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37304550 + ... + 37309626.

It is an arithmetic number, because the mean of its divisors is an integer number (1421169704).

Almost surely, 2^189408085776 is an apocalyptic number.

189408085776 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 189408085776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341080728960).

189408085776 is an abundant number, since it is smaller than the sum of its proper divisors (492753372144).

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

189408085776 is a wasteful number, since it uses less digits than its factorization.

189408085776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5200 (or 5175 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 189408085776 in words is "one hundred eighty-nine billion, four hundred eight million, eighty-five thousand, seven hundred seventy-six".