916460682048 has 392 divisors, whose sum is σ = 2827924321280. Its totient is φ = 294235130880.

The previous prime is 916460682047. The next prime is 916460682089. The reversal of 916460682048 is 840286064619.

916460682048 is a `hidden beast` number, since 9 + 1 + 6 + 4 + 606 + 8 + 20 + 4 + 8 = 666.

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 = 916460681985 and 916460682003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (916460682047) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 331209561 + ... + 331212327.

Almost surely, 2^916460682048 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 916460682048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413962160640).

916460682048 is an abundant number, since it is smaller than the sum of its proper divisors (1911463639232).

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

916460682048 is a wasteful number, since it uses less digits than its factorization.

916460682048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3057 (or 3032 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 916460682048 in words is "nine hundred sixteen billion, four hundred sixty million, six hundred eighty-two thousand, forty-eight".