114040046922984 has 1280 divisors, whose sum is σ = 416055992647680. Its totient is φ = 28374156195840.

The previous prime is 114040046922937. The next prime is 114040046923003. The reversal of 114040046922984 is 489229640040411.

114040046922984 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 400 + 4 + 6 + 9 + 229 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 114040046922984.

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 319 ways as a sum of consecutive naturals, for example, 53215139817 + ... + 53215141959.

It is an arithmetic number, because the mean of its divisors is an integer number (325043744256).

Almost surely, 2^{114040046922984} is an apocalyptic number.

114040046922984 is a gapful number since it is divisible by the number (14) 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 114040046922984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208027996323840).

114040046922984 is an abundant number, since it is smaller than the sum of its proper divisors (302015945724696).

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

114040046922984 is a wasteful number, since it uses less digits than its factorization.

114040046922984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 114040046922984 in words is "one hundred fourteen trillion, forty billion, forty-six million, nine hundred twenty-two thousand, nine hundred eighty-four".