114511315405432 has 64 divisors (see below), whose sum is σ = 246566610720000. Its totient is φ = 49308863374080.

The previous prime is 114511315405429. The next prime is 114511315405433. The reversal of 114511315405432 is 234504513115411.

It is a super-2 number, since 2×114511315405432² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114511315405433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35713444 + ... + 38787532.

It is an arithmetic number, because the mean of its divisors is an integer number (3852603292500).

Almost surely, 2^{114511315405432} is an apocalyptic number.

It is an amenable number.

114511315405432 is an abundant number, since it is smaller than the sum of its proper divisors (132055295314568).

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

114511315405432 is a wasteful number, since it uses less digits than its factorization.

114511315405432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3096404 (or 3096400 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

The spelling of 114511315405432 in words is "one hundred fourteen trillion, five hundred eleven billion, three hundred fifteen million, four hundred five thousand, four hundred thirty-two".