916388315136 has 600 divisors, whose sum is σ = 3296387301440. Its totient is φ = 246423748608.

The previous prime is 916388315123. The next prime is 916388315137. The reversal of 916388315136 is 631513883619.

916388315136 is a `hidden beast` number, since 9 + 16 + 3 + 88 + 31 + 513 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (916388315137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53905195000 + ... + 53905195016.

Almost surely, 2^916388315136 is an apocalyptic number.

916388315136 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 916388315136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648193650720).

916388315136 is an abundant number, since it is smaller than the sum of its proper divisors (2379998986304).

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

916388315136 is an frugal number, since it uses more digits than its factorization.

916388315136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 29 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 916388315136 in words is "nine hundred sixteen billion, three hundred eighty-eight million, three hundred fifteen thousand, one hundred thirty-six".