114889155840 has 864 divisors, whose sum is σ = 432570902400. Its totient is φ = 29167091712.

The previous prime is 114889155811. The next prime is 114889155889. The reversal of 114889155840 is 48551988411.

114889155840 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 89 + 1 + 558 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×114889155840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 771068086 + ... + 771068234.

Almost surely, 2^114889155840 is an apocalyptic number.

114889155840 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 114889155840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216285451200).

114889155840 is an abundant number, since it is smaller than the sum of its proper divisors (317681746560).

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

114889155840 is an equidigital number, since it uses as much as digits as its factorization.

114889155840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 54.

The spelling of 114889155840 in words is "one hundred fourteen billion, eight hundred eighty-nine million, one hundred fifty-five thousand, eight hundred forty".