186516714089680 has 80 divisors (see below), whose sum is σ = 494480284142544. Its totient is φ = 64816668057600.

The previous prime is 186516714089677. The next prime is 186516714089701. The reversal of 186516714089680 is 86980417615681.

It can be written as a sum of positive squares in 8 ways, for example, as 8420536097856 + 178096177991824 = 2901816^2 + 13345268^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×186516714089680² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5274776271 + ... + 5274811630.

Almost surely, 2^{186516714089680} is an apocalyptic number.

186516714089680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

186516714089680 is an abundant number, since it is smaller than the sum of its proper divisors (307963570052864).

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

186516714089680 is a wasteful number, since it uses less digits than its factorization.

186516714089680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10549587944 (or 10549587938 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 70.

The spelling of 186516714089680 in words is "one hundred eighty-six trillion, five hundred sixteen billion, seven hundred fourteen million, eighty-nine thousand, six hundred eighty".