916617461760 has 3072 divisors, whose sum is σ = 4616750960640. Its totient is φ = 168170618880.

The previous prime is 916617461731. The next prime is 916617461801. The reversal of 916617461760 is 67164716619.

916617461760 is a `hidden beast` number, since 9 + 1 + 6 + 6 + 17 + 4 + 617 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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

It is a junction number, because it is equal to n+sod(n) for n = 916617461697 and 916617461706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39852933109 + ... + 39852933131.

It is an arithmetic number, because the mean of its divisors is an integer number (1502848620).

Almost surely, 2^916617461760 is an apocalyptic number.

916617461760 is a gapful number since it is divisible by the number (90) 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 916617461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308375480320).

916617461760 is an abundant number, since it is smaller than the sum of its proper divisors (3700133498880).

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

916617461760 is a wasteful number, since it uses less digits than its factorization.

916617461760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 916617461760 in words is "nine hundred sixteen billion, six hundred seventeen million, four hundred sixty-one thousand, seven hundred sixty".