90541623109824 has 112 divisors (see below), whose sum is σ = 266215647135840. Its totient is φ = 30176000824320.

The previous prime is 90541623109793. The next prime is 90541623109837. The reversal of 90541623109824 is 42890132614509.

It is a happy number.

90541623109824 is a `hidden beast` number, since 9 + 0 + 5 + 4 + 1 + 623 + 1 + 0 + 9 + 8 + 2 + 4 = 666.

It is a super-2 number, since 2×90541623109824² (a number of 29 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7558554 + ... + 15434214.

Almost surely, 2^{90541623109824} is an apocalyptic number.

It is an amenable number.

90541623109824 is an abundant number, since it is smaller than the sum of its proper divisors (175674024026016).

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

90541623109824 is a wasteful number, since it uses less digits than its factorization.

90541623109824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7882335 (or 7882319 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 90541623109824 in words is "ninety trillion, five hundred forty-one billion, six hundred twenty-three million, one hundred nine thousand, eight hundred twenty-four".