114560949283200 has 6480 divisors, whose sum is σ = 555362891414100. Its totient is φ = 23173969674240.

The previous prime is 114560949283199. The next prime is 114560949283213. The reversal of 114560949283200 is 2382949065411.

It is a happy number.

114560949283200 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 609 + 4 + 9 + 2 + 8 + 3 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

It is a super-2 number, since 2×114560949283200² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 809 ways as a sum of consecutive naturals, for example, 1941711004771 + ... + 1941711004829.

Almost surely, 2^{114560949283200} is an apocalyptic number.

114560949283200 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 114560949283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277681445707050).

114560949283200 is an abundant number, since it is smaller than the sum of its proper divisors (440801942130900).

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

114560949283200 is a wasteful number, since it uses less digits than its factorization.

114560949283200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 114560949283200 in words is "one hundred fourteen trillion, five hundred sixty billion, nine hundred forty-nine million, two hundred eighty-three thousand, two hundred".