114268117720 has 16 divisors (see below), whose sum is σ = 257103264960. Its totient is φ = 45707247072.

The previous prime is 114268117699. The next prime is 114268117727. The reversal of 114268117720 is 27711862411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 2856702943 = 114268117720 / (1 + 1 + 4 + 2 + 6 + 8 + 1 + 1 + 7 + 7 + 2 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114268117727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1428351432 + ... + 1428351511.

It is an arithmetic number, because the mean of its divisors is an integer number (16068954060).

Almost surely, 2^114268117720 is an apocalyptic number.

114268117720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114268117720 is an abundant number, since it is smaller than the sum of its proper divisors (142835147240).

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

114268117720 is a wasteful number, since it uses less digits than its factorization.

114268117720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856702954 (or 2856702950 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 40.

The spelling of 114268117720 in words is "one hundred fourteen billion, two hundred sixty-eight million, one hundred seventeen thousand, seven hundred twenty".