90377795641 has 27 divisors (see below), whose sum is σ = 106892687727. Its totient is φ = 76191413760.

The previous prime is 90377795621. The next prime is 90377795659. The reversal of 90377795641 is 14659777309.

The square root of 90377795641 is 300629.

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

It can be written as a sum of positive squares in only one way, i.e., 81579355641 + 8798440000 = 285621^2 + 93800^2 .

It is not a de Polignac number, because 90377795641 - 2⁵ = 90377795609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90377795621) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 140994681 + ... + 140995321.

Almost surely, 2^90377795641 is an apocalyptic number.

90377795641 is the 300629-th square number.

90377795641 is the 150315-th centered octagonal number.

It is an amenable number.

90377795641 is a deficient number, since it is larger than the sum of its proper divisors (16514892086).

90377795641 is an frugal number, since it uses more digits than its factorization.

90377795641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 10001880, while the sum is 58.

The spelling of 90377795641 in words is "ninety billion, three hundred seventy-seven million, seven hundred ninety-five thousand, six hundred forty-one".