114511601952 has 72 divisors (see below), whose sum is σ = 355246229520. Its totient is φ = 34700484480.

The previous prime is 114511601951. The next prime is 114511601959. The reversal of 114511601952 is 259106115411.

It is a happy number.

114511601952 is a `hidden beast` number, since 1 + 1 + 45 + 1 + 1 + 601 + 9 + 5 + 2 = 666.

114511601952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×114511601952² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (114511601951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18070002 + ... + 18076337.

It is an arithmetic number, because the mean of its divisors is an integer number (4933975410).

Almost surely, 2^114511601952 is an apocalyptic number.

114511601952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114511601952 is an abundant number, since it is smaller than the sum of its proper divisors (240734627568).

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

114511601952 is a wasteful number, since it uses less digits than its factorization.

114511601952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36146366 (or 36146355 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

The spelling of 114511601952 in words is "one hundred fourteen billion, five hundred eleven million, six hundred one thousand, nine hundred fifty-two".