114253490400 has 576 divisors, whose sum is σ = 450196185600. Its totient is φ = 24585707520.

The previous prime is 114253490359. The next prime is 114253490443. The reversal of 114253490400 is 4094352411.

It is a congruent number.

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, 55220566 + ... + 55222634.

It is an arithmetic number, because the mean of its divisors is an integer number (781590600).

Almost surely, 2^114253490400 is an apocalyptic number.

114253490400 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 114253490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225098092800).

114253490400 is an abundant number, since it is smaller than the sum of its proper divisors (335942695200).

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

114253490400 is a wasteful number, since it uses less digits than its factorization.

114253490400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 114253490400 in words is "one hundred fourteen billion, two hundred fifty-three million, four hundred ninety thousand, four hundred".