114818874740640 has 768 divisors, whose sum is σ = 483546889728000. Its totient is φ = 24857943552000.

The previous prime is 114818874740639. The next prime is 114818874740701. The reversal of 114818874740640 is 46047478818411.

114818874740640 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 188 + 7 + 4 + 7 + 406 + 40 = 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 (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3257163015 + ... + 3257198265.

It is an arithmetic number, because the mean of its divisors is an integer number (629618346000).

Almost surely, 2^{114818874740640} is an apocalyptic number.

114818874740640 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 114818874740640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241773444864000).

114818874740640 is an abundant number, since it is smaller than the sum of its proper divisors (368728014987360).

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

114818874740640 is a wasteful number, since it uses less digits than its factorization.

114818874740640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40970 (or 40956 counting only the distinct ones).

The product of its (nonzero) digits is 38535168, while the sum is 63.

The spelling of 114818874740640 in words is "one hundred fourteen trillion, eight hundred eighteen billion, eight hundred seventy-four million, seven hundred forty thousand, six hundred forty".