10090294458816 has 672 divisors, whose sum is σ = 32051557318144. Its totient is φ = 2782588723200.

The previous prime is 10090294458793. The next prime is 10090294458863. The reversal of 10090294458816 is 61885449209001.

It is a super-2 number, since 2×10090294458816² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8616817911 + ... + 8616819081.

Almost surely, 2^{10090294458816} is an apocalyptic number.

10090294458816 is a gapful number since it is divisible by the number (16) 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 10090294458816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16025778659072).

10090294458816 is an abundant number, since it is smaller than the sum of its proper divisors (21961262859328).

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

10090294458816 is a wasteful number, since it uses less digits than its factorization.

10090294458816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 57.

The spelling of 10090294458816 in words is "ten trillion, ninety billion, two hundred ninety-four million, four hundred fifty-eight thousand, eight hundred sixteen".