114545902968 has 288 divisors, whose sum is σ = 372454598880. Its totient is φ = 31144435200.

The previous prime is 114545902943. The next prime is 114545902969. The reversal of 114545902968 is 869209545411.

114545902968 is a `hidden beast` number, since 1 + 1 + 4 + 545 + 9 + 0 + 2 + 96 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114545902969) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29543046 + ... + 29546922.

It is an arithmetic number, because the mean of its divisors is an integer number (1293245135).

Almost surely, 2^114545902968 is an apocalyptic number.

114545902968 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 114545902968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186227299440).

114545902968 is an abundant number, since it is smaller than the sum of its proper divisors (257908695912).

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

114545902968 is a wasteful number, since it uses less digits than its factorization.

114545902968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4019 (or 3981 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 114545902968 in words is "one hundred fourteen billion, five hundred forty-five million, nine hundred two thousand, nine hundred sixty-eight".