626312284416 has 432 divisors, whose sum is σ = 2276778241920. Its totient is φ = 161150238720.

The previous prime is 626312284391. The next prime is 626312284459. The reversal of 626312284416 is 614482213626.

626312284416 is a `hidden beast` number, since 6 + 2 + 6 + 3 + 1 + 228 + 4 + 416 = 666.

It is a super-2 number, since 2×626312284416² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8559795 + ... + 8632653.

Almost surely, 2^626312284416 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 626312284416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138389120960).

626312284416 is an abundant number, since it is smaller than the sum of its proper divisors (1650465957504).

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

626312284416 is a wasteful number, since it uses less digits than its factorization.

626312284416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72942 (or 72925 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 626312284416 in words is "six hundred twenty-six billion, three hundred twelve million, two hundred eighty-four thousand, four hundred sixteen".