114378585840 has 160 divisors (see below), whose sum is σ = 395163398400. Its totient is φ = 30408618240.

The previous prime is 114378585829. The next prime is 114378585857. The reversal of 114378585840 is 48585873411.

114378585840 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 7 + 8 + 58 + 584 + 0 = 666.

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 31 ways as a sum of consecutive naturals, for example, 634971 + ... + 794949.

It is an arithmetic number, because the mean of its divisors is an integer number (2469771240).

Almost surely, 2^114378585840 is an apocalyptic number.

114378585840 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 114378585840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197581699200).

114378585840 is an abundant number, since it is smaller than the sum of its proper divisors (280784812560).

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

114378585840 is a wasteful number, since it uses less digits than its factorization.

114378585840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160332 (or 160320 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 114378585840 in words is "one hundred fourteen billion, three hundred seventy-eight million, five hundred eighty-five thousand, eight hundred forty".