114152322400 has 72 divisors (see below), whose sum is σ = 278746002864. Its totient is φ = 45649190400.

The previous prime is 114152322397. The next prime is 114152322407. The reversal of 114152322400 is 4223251411.

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 (114152322407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3522270 + ... + 3554530.

It is an arithmetic number, because the mean of its divisors is an integer number (3871472262).

Almost surely, 2^114152322400 is an apocalyptic number.

114152322400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114152322400 is an abundant number, since it is smaller than the sum of its proper divisors (164593680464).

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

114152322400 is a wasteful number, since it uses less digits than its factorization.

114152322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36704 (or 36691 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 114152322400 its reverse (4223251411), we get a palindrome (118375573811).

The spelling of 114152322400 in words is "one hundred fourteen billion, one hundred fifty-two million, three hundred twenty-two thousand, four hundred".