114454251360 has 144 divisors (see below), whose sum is σ = 390958311744. Its totient is φ = 30491191296.

The previous prime is 114454251349. The next prime is 114454251371. The reversal of 114454251360 is 63152454411.

114454251360 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 542 + 51 + 3 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (114454251349) and next prime (114454251371).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1449049 + ... + 1525991.

It is an arithmetic number, because the mean of its divisors is an integer number (2714988276).

Almost surely, 2^114454251360 is an apocalyptic number.

114454251360 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 114454251360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195479155872).

114454251360 is an abundant number, since it is smaller than the sum of its proper divisors (276504060384).

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

114454251360 is a wasteful number, since it uses less digits than its factorization.

114454251360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77997 (or 77986 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 114454251360 in words is "one hundred fourteen billion, four hundred fifty-four million, two hundred fifty-one thousand, three hundred sixty".