16468784031024 has 320 divisors, whose sum is σ = 53817205478400. Its totient is φ = 4780006483968.

The previous prime is 16468784031019. The next prime is 16468784031041. The reversal of 16468784031024 is 42013048786461.

16468784031024 is a `hidden beast` number, since 1 + 6 + 4 + 68 + 78 + 403 + 102 + 4 = 666.

It is a super-2 number, since 2×16468784031024² (a number of 27 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24530829 + ... + 25193235.

It is an arithmetic number, because the mean of its divisors is an integer number (168178767120).

Almost surely, 2^{16468784031024} 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 16468784031024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26908602739200).

16468784031024 is an abundant number, since it is smaller than the sum of its proper divisors (37348421447376).

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

16468784031024 is a wasteful number, since it uses less digits than its factorization.

16468784031024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662689 (or 662677 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 16468784031024 in words is "sixteen trillion, four hundred sixty-eight billion, seven hundred eighty-four million, thirty-one thousand, twenty-four".