114167917696 has 128 divisors (see below), whose sum is σ = 266036400000. Its totient is φ = 48782361600.

The previous prime is 114167917693. The next prime is 114167917709. The reversal of 114167917696 is 696719761411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 114167917696.

It is not an unprimeable number, because it can be changed into a prime (114167917693) 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, 15318771 + ... + 15326221.

It is an arithmetic number, because the mean of its divisors is an integer number (2078409375).

Almost surely, 2^114167917696 is an apocalyptic number.

114167917696 is a gapful number since it is divisible by the number (16) 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 114167917696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133018200000).

114167917696 is an abundant number, since it is smaller than the sum of its proper divisors (151868482304).

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

114167917696 is an frugal number, since it uses more digits than its factorization.

114167917696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7835 (or 7809 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 58.

The spelling of 114167917696 in words is "one hundred fourteen billion, one hundred sixty-seven million, nine hundred seventeen thousand, six hundred ninety-six".