916126412544 has 720 divisors, whose sum is σ = 3281740177408. Its totient is φ = 248690663424.

The previous prime is 916126412503. The next prime is 916126412567. The reversal of 916126412544 is 445214621619.

916126412544 is a `hidden beast` number, since 9 + 1 + 61 + 2 + 6 + 41 + 2 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 916126412544.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 230934849 + ... + 230938815.

Almost surely, 2^916126412544 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 916126412544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640870088704).

916126412544 is an abundant number, since it is smaller than the sum of its proper divisors (2365613764864).

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

916126412544 is a wasteful number, since it uses less digits than its factorization.

916126412544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4082 (or 4059 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 916126412544 in words is "nine hundred sixteen billion, one hundred twenty-six million, four hundred twelve thousand, five hundred forty-four".