114253365600 has 864 divisors, whose sum is σ = 456426786816. Its totient is φ = 26649907200.

The previous prime is 114253365599. The next prime is 114253365619. The reversal of 114253365600 is 6563352411.

114253365600 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 533 + 65 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 372160647 + ... + 372160953.

It is an arithmetic number, because the mean of its divisors is an integer number (528271744).

Almost surely, 2^114253365600 is an apocalyptic number.

114253365600 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 114253365600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228213393408).

114253365600 is an abundant number, since it is smaller than the sum of its proper divisors (342173421216).

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

114253365600 is a wasteful number, since it uses less digits than its factorization.

114253365600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 114253365600 in words is "one hundred fourteen billion, two hundred fifty-three million, three hundred sixty-five thousand, six hundred".