187944190866432 has 5632 divisors, whose sum is σ = 812144793600000. Its totient is φ = 42770279301120.

The previous prime is 187944190866413. The next prime is 187944190866433. The reversal of 187944190866432 is 234668091449781.

187944190866432 is a `hidden beast` number, since 1 + 8 + 7 + 9 + 4 + 41 + 90 + 8 + 66 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (5632).

It is a super-2 number, since 2×187944190866432² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (187944190866433) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 3185494760419 + ... + 3185494760477.

Almost surely, 2^{187944190866432} is an apocalyptic number.

187944190866432 is a gapful number since it is divisible by the number (12) 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 187944190866432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406072396800000).

187944190866432 is an abundant number, since it is smaller than the sum of its proper divisors (624200602733568).

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

187944190866432 is an equidigital number, since it uses as much as digits as its factorization.

187944190866432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 187944190866432 in words is "one hundred eighty-seven trillion, nine hundred forty-four billion, one hundred ninety million, eight hundred sixty-six thousand, four hundred thirty-two".