114132909945600 has 1296 divisors, whose sum is σ = 517924967347200. Its totient is φ = 24080746659840.

The previous prime is 114132909945581. The next prime is 114132909945617. The reversal of 114132909945600 is 6549909231411.

114132909945600 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 3 + 29 + 0 + 9 + 9 + 4 + 5 + 600 = 666.

It is a super-2 number, since 2×114132909945600² (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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 204143241 + ... + 204701559.

Almost surely, 2^{114132909945600} is an apocalyptic number.

114132909945600 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 114132909945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258962483673600).

114132909945600 is an abundant number, since it is smaller than the sum of its proper divisors (403792057401600).

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

114132909945600 is a wasteful number, since it uses less digits than its factorization.

114132909945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558387 (or 558349 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 114132909945600 in words is "one hundred fourteen trillion, one hundred thirty-two billion, nine hundred nine million, nine hundred forty-five thousand, six hundred".