114392088195840 has 648 divisors, whose sum is σ = 495818239080528. Its totient is φ = 24135472005120.

The previous prime is 114392088195829. The next prime is 114392088195877. The reversal of 114392088195840 is 48591880293411.

114392088195840 is a `hidden beast` number, since 1 + 1 + 4 + 39 + 2 + 0 + 8 + 8 + 19 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 456006 + ... + 15132485.

Almost surely, 2^{114392088195840} is an apocalyptic number.

114392088195840 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 114392088195840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247909119540264).

114392088195840 is an abundant number, since it is smaller than the sum of its proper divisors (381426150884688).

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

114392088195840 is a wasteful number, since it uses less digits than its factorization.

114392088195840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15588545 (or 15588521 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 114392088195840 in words is "one hundred fourteen trillion, three hundred ninety-two billion, eighty-eight million, one hundred ninety-five thousand, eight hundred forty".