916228127784960 has 1632 divisors, whose sum is σ = 3332742526713600. Its totient is φ = 232648479866880.

The previous prime is 916228127784953. The next prime is 916228127784967. The reversal of 916228127784960 is 69487721822619.

It is a happy number.

916228127784960 is a `hidden beast` number, since 9 + 1 + 6 + 2 + 2 + 8 + 127 + 7 + 8 + 496 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (916228127784953) and next prime (916228127784967).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (916228127784967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1039986523720 + ... + 1039986524600.

Almost surely, 2^{916228127784960} is an apocalyptic number.

916228127784960 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 916228127784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666371263356800).

916228127784960 is an abundant number, since it is smaller than the sum of its proper divisors (2416514398928640).

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

916228127784960 is a wasteful number, since it uses less digits than its factorization.

916228127784960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 916228127784960 in words is "nine hundred sixteen trillion, two hundred twenty-eight billion, one hundred twenty-seven million, seven hundred eighty-four thousand, nine hundred sixty".