114733044615168 has 1008 divisors, whose sum is σ = 413029194439680. Its totient is φ = 31722795417600.

The previous prime is 114733044615139. The next prime is 114733044615221. The reversal of 114733044615168 is 861516440337411.

It is a happy number.

114733044615168 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 3 + 3 + 0 + 4 + 4 + 615 + 16 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×114733044615168² (a number of 29 digits) contains 22 as substring.

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

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 83 ways as a sum of consecutive naturals, for example, 2267829553 + ... + 2267880143.

It is an arithmetic number, because the mean of its divisors is an integer number (409751184960).

Almost surely, 2^{114733044615168} is an apocalyptic number.

114733044615168 is a gapful number since it is divisible by the number (18) 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 114733044615168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206514597219840).

114733044615168 is an abundant number, since it is smaller than the sum of its proper divisors (298296149824512).

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

114733044615168 is an frugal number, since it uses more digits than its factorization.

114733044615168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50676 (or 50634 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 114733044615168 in words is "one hundred fourteen trillion, seven hundred thirty-three billion, forty-four million, six hundred fifteen thousand, one hundred sixty-eight".