90463666176 has 432 divisors, whose sum is σ = 298855602864. Its totient is φ = 26122125312.

The previous prime is 90463666169. The next prime is 90463666199. The reversal of 90463666176 is 67166636409.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 260702035 + ... + 260702381.

It is an arithmetic number, because the mean of its divisors is an integer number (691795377).

Almost surely, 2^90463666176 is an apocalyptic number.

90463666176 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90463666176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149427801432).

90463666176 is an abundant number, since it is smaller than the sum of its proper divisors (208391936688).

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

90463666176 is a wasteful number, since it uses less digits than its factorization.

90463666176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 90463666176 in words is "ninety billion, four hundred sixty-three million, six hundred sixty-six thousand, one hundred seventy-six".