114908774400 has 1080 divisors, whose sum is σ = 484680027104. Its totient is φ = 25480396800.

The previous prime is 114908774381. The next prime is 114908774467. The reversal of 114908774400 is 4477809411.

It is a happy number.

114908774400 is a `hidden beast` number, since 1 + 14 + 90 + 87 + 74 + 400 = 666.

It is a super-2 number, since 2×114908774400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1574092764 + ... + 1574092836.

Almost surely, 2^114908774400 is an apocalyptic number.

114908774400 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 114908774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242340013552).

114908774400 is an abundant number, since it is smaller than the sum of its proper divisors (369771252704).

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

114908774400 is an equidigital number, since it uses as much as digits as its factorization.

114908774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 114908774400 in words is "one hundred fourteen billion, nine hundred eight million, seven hundred seventy-four thousand, four hundred".