114112151400 has 384 divisors, whose sum is σ = 396837100800. Its totient is φ = 26940211200.

The previous prime is 114112151389. The next prime is 114112151423. The reversal of 114112151400 is 4151211411.

114112151400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20487816 + ... + 20493384.

It is an arithmetic number, because the mean of its divisors is an integer number (1033429950).

Almost surely, 2^114112151400 is an apocalyptic number.

114112151400 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 114112151400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198418550400).

114112151400 is an abundant number, since it is smaller than the sum of its proper divisors (282724949400).

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

114112151400 is a wasteful number, since it uses less digits than its factorization.

114112151400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5709 (or 5700 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 21.

Adding to 114112151400 its reverse (4151211411), we get a palindrome (118263362811).

The spelling of 114112151400 in words is "one hundred fourteen billion, one hundred twelve million, one hundred fifty-one thousand, four hundred".