114131130114400 has 576 divisors, whose sum is σ = 327547955589120. Its totient is φ = 38026842163200.

The previous prime is 114131130114383. The next prime is 114131130114401. The reversal of 114131130114400 is 4411031131411.

It is a super-2 number, since 2×114131130114400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114131130114401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25255835341 + ... + 25255839859.

It is an arithmetic number, because the mean of its divisors is an integer number (568659645120).

Almost surely, 2^{114131130114400} is an apocalyptic number.

114131130114400 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 114131130114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163773977794560).

114131130114400 is an abundant number, since it is smaller than the sum of its proper divisors (213416825474720).

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

114131130114400 is a wasteful number, since it uses less digits than its factorization.

114131130114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5507 (or 5494 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

Adding to 114131130114400 its reverse (4411031131411), we get a palindrome (118542161245811).

The spelling of 114131130114400 in words is "one hundred fourteen trillion, one hundred thirty-one billion, one hundred thirty million, one hundred fourteen thousand, four hundred".