114514400000 has 972 divisors, whose sum is σ = 388638531792. Its totient is φ = 32947200000.

The previous prime is 114514399981. The next prime is 114514400017. The reversal of 114514400000 is 4415411.

It is a super-2 number, since 2×114514400000² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8808799994 + ... + 8808800006.

Almost surely, 2^114514400000 is an apocalyptic number.

114514400000 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 114514400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194319265896).

114514400000 is an abundant number, since it is smaller than the sum of its proper divisors (274124131792).

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

114514400000 is an frugal number, since it uses more digits than its factorization.

114514400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 114514400000 its reverse (4415411), we get a palindrome (114518815411).

The spelling of 114514400000 in words is "one hundred fourteen billion, five hundred fourteen million, four hundred thousand".