116613157248 has 576 divisors, whose sum is σ = 426222014400. Its totient is φ = 31556625408.

The previous prime is 116613157231. The next prime is 116613157249. The reversal of 116613157248 is 842751316611.

116613157248 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 1 + 31 + 572 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116613157249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28955811 + ... + 28959837.

It is an arithmetic number, because the mean of its divisors is an integer number (739968775).

Almost surely, 2^116613157248 is an apocalyptic number.

116613157248 is a gapful number since it is divisible by the number (18) 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 116613157248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213111007200).

116613157248 is an abundant number, since it is smaller than the sum of its proper divisors (309608857152).

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

116613157248 is an equidigital number, since it uses as much as digits as its factorization.

116613157248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4089 (or 4058 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 116613157248 in words is "one hundred sixteen billion, six hundred thirteen million, one hundred fifty-seven thousand, two hundred forty-eight".