114971550400 has 336 divisors, whose sum is σ = 339177148416. Its totient is φ = 37531054080.

The previous prime is 114971550373. The next prime is 114971550401. The reversal of 114971550400 is 4055179411.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 114971550400.

It is not an unprimeable number, because it can be changed into a prime (114971550401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19473849 + ... + 19479751.

Almost surely, 2^114971550400 is an apocalyptic number.

114971550400 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 114971550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169588574208).

114971550400 is an abundant number, since it is smaller than the sum of its proper divisors (224205598016).

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

114971550400 is a wasteful number, since it uses less digits than its factorization.

114971550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6016 (or 6001 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 37.

The spelling of 114971550400 in words is "one hundred fourteen billion, nine hundred seventy-one million, five hundred fifty thousand, four hundred".