114532943976 has 512 divisors, whose sum is σ = 368337715200. Its totient is φ = 32931360000.

The previous prime is 114532943957. The next prime is 114532943989. The reversal of 114532943976 is 679349235411.

114532943976 is a `hidden beast` number, since 1 + 1 + 4 + 532 + 9 + 4 + 39 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 632778606 + ... + 632778786.

It is an arithmetic number, because the mean of its divisors is an integer number (719409600).

Almost surely, 2^114532943976 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 114532943976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184168857600).

114532943976 is an abundant number, since it is smaller than the sum of its proper divisors (253804771224).

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

114532943976 is a wasteful number, since it uses less digits than its factorization.

114532943976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 299 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 114532943976 in words is "one hundred fourteen billion, five hundred thirty-two million, nine hundred forty-three thousand, nine hundred seventy-six".