92141376940900 has 243 divisors, whose sum is σ = 233971471056897. Its totient is φ = 31404954470400.

The previous prime is 92141376940871. The next prime is 92141376940931. The reversal of 92141376940900 is 904967314129.

The square root of 92141376940900 is 9599030.

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

It can be written as a sum of positive squares in 13 ways, for example, as 67757295916324 + 24384081024576 = 8231482^2 + 4938024^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 161935635816 + ... + 161935636384.

Almost surely, 2^{92141376940900} is an apocalyptic number.

92141376940900 is the 9599030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92141376940900

92141376940900 is an abundant number, since it is smaller than the sum of its proper divisors (141830094115997).

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

92141376940900 is an equidigital number, since it uses as much as digits as its factorization.

92141376940900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 55.

The spelling of 92141376940900 in words is "ninety-two trillion, one hundred forty-one billion, three hundred seventy-six million, nine hundred forty thousand, nine hundred".