116148669120 has 896 divisors, whose sum is σ = 463684193280. Its totient is φ = 27126005760.

The previous prime is 116148669097. The next prime is 116148669127. The reversal of 116148669120 is 21966841611.

116148669120 is a `hidden beast` number, since 1 + 1 + 61 + 486 + 6 + 91 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (116148669127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 396411694 + ... + 396411986.

It is an arithmetic number, because the mean of its divisors is an integer number (517504680).

Almost surely, 2^116148669120 is an apocalyptic number.

116148669120 is a gapful number since it is divisible by the number (10) 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 116148669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231842096640).

116148669120 is an abundant number, since it is smaller than the sum of its proper divisors (347535524160).

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

116148669120 is a wasteful number, since it uses less digits than its factorization.

116148669120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 116148669120 in words is "one hundred sixteen billion, one hundred forty-eight million, six hundred sixty-nine thousand, one hundred twenty".