90609393661919 has 32 divisors (see below), whose sum is σ = 102348969085440. Its totient is φ = 79458790320000.

The previous prime is 90609393661859. The next prime is 90609393661931. The reversal of 90609393661919 is 91916639390609.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-90609393661919 is a prime.

It is a super-2 number, since 2×90609393661919² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90609393661939) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1755732014 + ... + 1755783620.

It is an arithmetic number, because the mean of its divisors is an integer number (3198405283920).

Almost surely, 2^{90609393661919} is an apocalyptic number.

90609393661919 is a deficient number, since it is larger than the sum of its proper divisors (11739575423521).

90609393661919 is a wasteful number, since it uses less digits than its factorization.

90609393661919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56591.

The product of its (nonzero) digits is 114791256, while the sum is 71.

The spelling of 90609393661919 in words is "ninety trillion, six hundred nine billion, three hundred ninety-three million, six hundred sixty-one thousand, nine hundred nineteen".