116653752 has 48 divisors (see below), whose sum is σ = 319213440. Its totient is φ = 38481408.

The previous prime is 116653751. The next prime is 116653759. The reversal of 116653752 is 257356611.

116653752 is a `hidden beast` number, since 11 + 66 + 537 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116653751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1368 + ... + 15335.

It is an arithmetic number, because the mean of its divisors is an integer number (6650280).

Almost surely, 2^116653752 is an apocalyptic number.

116653752 is a gapful number since it is divisible by the number (12) 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 116653752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159606720).

116653752 is an abundant number, since it is smaller than the sum of its proper divisors (202559688).

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

116653752 is a wasteful number, since it uses less digits than its factorization.

116653752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16812 (or 16805 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 116653752 is about 10800.6366479018. The cubic root of 116653752 is about 488.6143722238.

The spelling of 116653752 in words is "one hundred sixteen million, six hundred fifty-three thousand, seven hundred fifty-two".