91427616900 has 81 divisors (see below), whose sum is σ = 286603221541. Its totient is φ = 24378278880.

The previous prime is 91427616859. The next prime is 91427616919. The reversal of 91427616900 is 961672419.

The square root of 91427616900 is 302370.

It is a perfect power (a square), and thus also a powerful number.

91427616900 is a `hidden beast` number, since 9 + 1 + 4 + 27 + 616 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32913942084 + 58513674816 = 181422^2 + 241896^2 .

It is a super-2 number, since 2×91427616900² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9066061 + ... + 9076139.

Almost surely, 2^91427616900 is an apocalyptic number.

91427616900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

91427616900 is the 302370-th square number.

It is an amenable number.

91427616900 is an abundant number, since it is smaller than the sum of its proper divisors (195175604641).

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

91427616900 is a wasteful number, since it uses less digits than its factorization.

91427616900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20178 (or 10089 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 91427616900 in words is "ninety-one billion, four hundred twenty-seven million, six hundred sixteen thousand, nine hundred".