114632496 has 300 divisors, whose sum is σ = 395115336. Its totient is φ = 31933440.

The previous prime is 114632477. The next prime is 114632569. The reversal of 114632496 is 694236411.

114632496 is a `hidden beast` number, since 1 + 14 + 632 + 4 + 9 + 6 = 666.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 114632496.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2665851 + ... + 2665893.

Almost surely, 2^114632496 is an apocalyptic number.

114632496 is a gapful number since it is divisible by the number (16) 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 114632496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197557668).

114632496 is an abundant number, since it is smaller than the sum of its proper divisors (280482840).

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

114632496 is a wasteful number, since it uses less digits than its factorization.

114632496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 76 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 114632496 is about 10706.6566209999. The cubic root of 114632496 is about 485.7758454188.

The spelling of 114632496 in words is "one hundred fourteen million, six hundred thirty-two thousand, four hundred ninety-six".