90716182029408 has 96 divisors (see below), whose sum is σ = 256663719518976. Its totient is φ = 27889155629568.

The previous prime is 90716182029383. The next prime is 90716182029433. The reversal of 90716182029408 is 80492028161709.

It is an interprime number because it is at equal distance from previous prime (90716182029383) and next prime (90716182029433).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×90716182029408² (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, 29137516 + ... + 32100267.

It is an arithmetic number, because the mean of its divisors is an integer number (2673580411656).

Almost surely, 2^{90716182029408} is an apocalyptic number.

It is an amenable number.

90716182029408 is an abundant number, since it is smaller than the sum of its proper divisors (165947537489568).

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

90716182029408 is a wasteful number, since it uses less digits than its factorization.

90716182029408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61238996 (or 61238988 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 57.

The spelling of 90716182029408 in words is "ninety trillion, seven hundred sixteen billion, one hundred eighty-two million, twenty-nine thousand, four hundred eight".