114240786218496 has 960 divisors, whose sum is σ = 401876799667200. Its totient is φ = 31169592115200.

The previous prime is 114240786218459. The next prime is 114240786218513. The reversal of 114240786218496 is 694812687042411.

114240786218496 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 4 + 0 + 78 + 62 + 18 + 496 = 666.

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

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, 25483108671 + ... + 25483113153.

It is an arithmetic number, because the mean of its divisors is an integer number (418621666320).

Almost surely, 2^{114240786218496} is an apocalyptic number.

114240786218496 is a gapful number since it is divisible by the number (16) 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 114240786218496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200938399833600).

114240786218496 is an abundant number, since it is smaller than the sum of its proper divisors (287636013448704).

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

114240786218496 is an equidigital number, since it uses as much as digits as its factorization.

114240786218496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5252 (or 5219 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 114240786218496 in words is "one hundred fourteen trillion, two hundred forty billion, seven hundred eighty-six million, two hundred eighteen thousand, four hundred ninety-six".