90916663140 has 120 divisors (see below), whose sum is σ = 285288843840. Its totient is φ = 24237652032.

The previous prime is 90916663133. The next prime is 90916663147. The reversal of 90916663140 is 4136661909.

It is an interprime number because it is at equal distance from previous prime (90916663133) and next prime (90916663147).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (90916663147) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8870859 + ... + 8881101.

It is an arithmetic number, because the mean of its divisors is an integer number (2377407032).

Almost surely, 2^90916663140 is an apocalyptic number.

90916663140 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90916663140 is an abundant number, since it is smaller than the sum of its proper divisors (194372180700).

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

90916663140 is a wasteful number, since it uses less digits than its factorization.

90916663140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15743 (or 15732 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 90916663140 in words is "ninety billion, nine hundred sixteen million, six hundred sixty-three thousand, one hundred forty".