114514400 has 324 divisors, whose sum is σ = 380272536. Its totient is φ = 32947200.

The previous prime is 114514399. The next prime is 114514429. The reversal of 114514400 is 4415411.

It is a super-2 number, since 2×114514400² = 26227095614720000, which 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 8808794 + ... + 8808806.

Almost surely, 2^114514400 is an apocalyptic number.

114514400 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 114514400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190136268).

114514400 is an abundant number, since it is smaller than the sum of its proper divisors (265758136).

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

114514400 is a wasteful number, since it uses less digits than its factorization.

114514400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 38 counting only the distinct ones).

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

The square root of 114514400 is about 10701.1401261735. The cubic root of 114514400 is about 485.6089704110.

Adding to 114514400 its reverse (4415411), we get a palindrome (118929811).

It can be divided in two parts, 11451 and 4400, that added together give a palindrome (15851).

The spelling of 114514400 in words is "one hundred fourteen million, five hundred fourteen thousand, four hundred".