114121724766 has 64 divisors (see below), whose sum is σ = 263076003840. Its totient is φ = 32328253440.

The previous prime is 114121724749. The next prime is 114121724807. The reversal of 114121724766 is 667427121411.

It is a super-4 number, since 4×114121724766⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9280350 + ... + 9292638.

It is an arithmetic number, because the mean of its divisors is an integer number (4110562560).

Almost surely, 2^114121724766 is an apocalyptic number.

114121724766 is an abundant number, since it is smaller than the sum of its proper divisors (148954279074).

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

114121724766 is a wasteful number, since it uses less digits than its factorization.

114121724766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14169.

The product of its digits is 112896, while the sum is 42.

The spelling of 114121724766 in words is "one hundred fourteen billion, one hundred twenty-one million, seven hundred twenty-four thousand, seven hundred sixty-six".