90745576834176 has 192 divisors, whose sum is σ = 285215937963840. Its totient is φ = 27465162393600.

The previous prime is 90745576834163. The next prime is 90745576834183. The reversal of 90745576834176 is 67143867554709.

90745576834176 is a `hidden beast` number, since 9 + 0 + 7 + 4 + 5 + 576 + 8 + 3 + 41 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6042501 + ... + 14764923.

It is an arithmetic number, because the mean of its divisors is an integer number (1485499676895).

Almost surely, 2^{90745576834176} is an apocalyptic number.

90745576834176 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 90745576834176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142607968981920).

90745576834176 is an abundant number, since it is smaller than the sum of its proper divisors (194470361129664).

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

90745576834176 is a wasteful number, since it uses less digits than its factorization.

90745576834176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8723275 (or 8723260 counting only the distinct ones).

The product of its (nonzero) digits is 1066867200, while the sum is 72.

The spelling of 90745576834176 in words is "ninety trillion, seven hundred forty-five billion, five hundred seventy-six million, eight hundred thirty-four thousand, one hundred seventy-six".