114327961920 has 224 divisors, whose sum is σ = 408305447040. Its totient is φ = 30487269888.

The previous prime is 114327961879. The next prime is 114327961949. The reversal of 114327961920 is 29169723411.

114327961920 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 2 + 7 + 9 + 619 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 618159 + ... + 781521.

Almost surely, 2^114327961920 is an apocalyptic number.

114327961920 is a gapful number since it is divisible by the number (10) 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 114327961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204152723520).

114327961920 is an abundant number, since it is smaller than the sum of its proper divisors (293977485120).

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

114327961920 is an frugal number, since it uses more digits than its factorization.

114327961920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163401 (or 163373 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 114327961920 in words is "one hundred fourteen billion, three hundred twenty-seven million, nine hundred sixty-one thousand, nine hundred twenty".