90493416864 has 192 divisors, whose sum is σ = 266788771200. Its totient is φ = 29840431104.

The previous prime is 90493416863. The next prime is 90493416877. The reversal of 90493416864 is 46861439409.

It is a happy number.

90493416864 is a `hidden beast` number, since 90 + 493 + 4 + 1 + 6 + 8 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 90493416864.

It is not an unprimeable number, because it can be changed into a prime (90493416863) 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, 38069244 + ... + 38071620.

It is an arithmetic number, because the mean of its divisors is an integer number (1389524850).

Almost surely, 2^90493416864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90493416864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133394385600).

90493416864 is an abundant number, since it is smaller than the sum of its proper divisors (176295354336).

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

90493416864 is a wasteful number, since it uses less digits than its factorization.

90493416864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2852 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 90493416864 in words is "ninety billion, four hundred ninety-three million, four hundred sixteen thousand, eight hundred sixty-four".