90635097123144 has 576 divisors, whose sum is σ = 297313606287360. Its totient is φ = 24843435402240.

The previous prime is 90635097123121. The next prime is 90635097123167. The reversal of 90635097123144 is 44132179053609.

90635097123144 is a `hidden beast` number, since 9 + 0 + 6 + 3 + 509 + 7 + 123 + 1 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (90635097123121) and next prime (90635097123167).

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 143 ways as a sum of consecutive naturals, for example, 31071337974 + ... + 31071340890.

It is an arithmetic number, because the mean of its divisors is an integer number (516169455360).

Almost surely, 2^{90635097123144} 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 90635097123144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148656803143680).

90635097123144 is an abundant number, since it is smaller than the sum of its proper divisors (206678509164216).

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

90635097123144 is a wasteful number, since it uses less digits than its factorization.

90635097123144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5338 (or 5324 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 90635097123144 in words is "ninety trillion, six hundred thirty-five billion, ninety-seven million, one hundred twenty-three thousand, one hundred forty-four".