916290625536 has 672 divisors, whose sum is σ = 3131363787552. Its totient is φ = 254520852480.

The previous prime is 916290625519. The next prime is 916290625577. The reversal of 916290625536 is 635526092619.

It is a happy number.

916290625536 is a `hidden beast` number, since 9 + 1 + 6 + 2 + 9 + 0 + 625 + 5 + 3 + 6 = 666.

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, 2456543046 + ... + 2456543418.

It is an arithmetic number, because the mean of its divisors is an integer number (4659767541).

Almost surely, 2^916290625536 is an apocalyptic number.

916290625536 is a gapful number since it is divisible by the number (96) 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 916290625536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565681893776).

916290625536 is an abundant number, since it is smaller than the sum of its proper divisors (2215073162016).

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

916290625536 is a wasteful number, since it uses less digits than its factorization.

916290625536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 916290625536 in words is "nine hundred sixteen billion, two hundred ninety million, six hundred twenty-five thousand, five hundred thirty-six".