916744082688 has 432 divisors, whose sum is σ = 3178561935360. Its totient is φ = 259852271616.

The previous prime is 916744082669. The next prime is 916744082711. The reversal of 916744082688 is 886280447619.

916744082688 is a `hidden beast` number, since 9 + 167 + 4 + 408 + 2 + 68 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 43002720 + ... + 43024032.

Almost surely, 2^916744082688 is an apocalyptic number.

916744082688 is a gapful number since it is divisible by the number (98) 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 916744082688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589280967680).

916744082688 is an abundant number, since it is smaller than the sum of its proper divisors (2261817852672).

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

916744082688 is a wasteful number, since it uses less digits than its factorization.

916744082688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21479 (or 21452 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 916744082688 in words is "nine hundred sixteen billion, seven hundred forty-four million, eighty-two thousand, six hundred eighty-eight".