8616148992 has 252 divisors, whose sum is σ = 27481066704. Its totient is φ = 2579496960.

The previous prime is 8616148963. The next prime is 8616149027. The reversal of 8616148992 is 2998416168.

8616148992 is a `hidden beast` number, since 8 + 616 + 14 + 8 + 9 + 9 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103808983 + ... + 103809065.

It is an arithmetic number, because the mean of its divisors is an integer number (109051852).

Almost surely, 2^8616148992 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 8616148992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13740533352).

8616148992 is an abundant number, since it is smaller than the sum of its proper divisors (18864917712).

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

8616148992 is an frugal number, since it uses more digits than its factorization.

8616148992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 99 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 8616148992 is about 92823.2136483111. The cubic root of 8616148992 is about 2050.0812176428.

The spelling of 8616148992 in words is "eight billion, six hundred sixteen million, one hundred forty-eight thousand, nine hundred ninety-two".