114310505104000 has 128 divisors (see below), whose sum is σ = 284213869102800. Its totient is φ = 45722693632000.

The previous prime is 114310505103973. The next prime is 114310505104007. The reversal of 114310505104000 is 401505013411.

It can be written as a sum of positive squares in 8 ways, for example, as 1919466160704 + 112391038943296 = 1385448^2 + 10601464^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×114310505104000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (114310505104007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 571564020 + ... + 571763980.

Almost surely, 2^{114310505104000} is an apocalyptic number.

114310505104000 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 114310505104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142106934551400).

114310505104000 is an abundant number, since it is smaller than the sum of its proper divisors (169903363998800).

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

114310505104000 is an equidigital number, since it uses as much as digits as its factorization.

114310505104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235719 (or 235697 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The spelling of 114310505104000 in words is "one hundred fourteen trillion, three hundred ten billion, five hundred five million, one hundred four thousand".