4456235990016 has 528 divisors, whose sum is σ = 13551589160928. Its totient is φ = 1462468608000.

The previous prime is 4456235990009. The next prime is 4456235990021. The reversal of 4456235990016 is 6100995326544.

4456235990016 is a `hidden beast` number, since 4 + 4 + 5 + 623 + 5 + 9 + 9 + 0 + 0 + 1 + 6 = 666.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 5855763076 + ... + 5855763836.

Almost surely, 2^{4456235990016} 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 4456235990016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6775794580464).

4456235990016 is an abundant number, since it is smaller than the sum of its proper divisors (9095353170912).

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

4456235990016 is a wasteful number, since it uses less digits than its factorization.

4456235990016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 4456235990016 in words is "four trillion, four hundred fifty-six billion, two hundred thirty-five million, nine hundred ninety thousand, sixteen".