114294124707840 has 4560 divisors, whose sum is σ = 544310367777792. Its totient is φ = 22422749184000.

The previous prime is 114294124707823. The next prime is 114294124707923. The reversal of 114294124707840 is 48707421492411.

114294124707840 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 94 + 1 + 2 + 470 + 7 + 84 + 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 239 ways as a sum of consecutive naturals, for example, 2787661578220 + ... + 2787661578260.

Almost surely, 2^{114294124707840} is an apocalyptic number.

114294124707840 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 114294124707840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272155183888896).

114294124707840 is an abundant number, since it is smaller than the sum of its proper divisors (430016243069952).

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

114294124707840 is an frugal number, since it uses more digits than its factorization.

114294124707840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 114294124707840 in words is "one hundred fourteen trillion, two hundred ninety-four billion, one hundred twenty-four million, seven hundred seven thousand, eight hundred forty".