90091464233472 has 1920 divisors, whose sum is σ = 319019456448000. Its totient is φ = 24902915457024.

The previous prime is 90091464233443. The next prime is 90091464233483. The reversal of 90091464233472 is 27433246419009.

90091464233472 is a `hidden beast` number, since 9 + 0 + 0 + 9 + 146 + 4 + 23 + 3 + 472 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 258141731154 + ... + 258141731502.

It is an arithmetic number, because the mean of its divisors is an integer number (166155966900).

Almost surely, 2^{90091464233472} is an apocalyptic number.

90091464233472 is a gapful number since it is divisible by the number (92) 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 90091464233472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159509728224000).

90091464233472 is an abundant number, since it is smaller than the sum of its proper divisors (228927992214528).

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

90091464233472 is a wasteful number, since it uses less digits than its factorization.

90091464233472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 90091464233472 in words is "ninety trillion, ninety-one billion, four hundred sixty-four million, two hundred thirty-three thousand, four hundred seventy-two".