114512486400 has 1176 divisors, whose sum is σ = 466288358760. Its totient is φ = 27709931520.

The previous prime is 114512486359. The next prime is 114512486423. The reversal of 114512486400 is 4684215411.

114512486400 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 1 + 2 + 4 + 8 + 640 + 0 = 666.

It is a super-2 number, since 2×114512486400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1940889571 + ... + 1940889629.

Almost surely, 2^114512486400 is an apocalyptic number.

114512486400 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 114512486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233144179380).

114512486400 is an abundant number, since it is smaller than the sum of its proper divisors (351775872360).

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

114512486400 is an frugal number, since it uses more digits than its factorization.

114512486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 114512486400 in words is "one hundred fourteen billion, five hundred twelve million, four hundred eighty-six thousand, four hundred".