114669006400 has 168 divisors, whose sum is σ = 304223139584. Its totient is φ = 42288998400.

The previous prime is 114669006341. The next prime is 114669006433. The reversal of 114669006400 is 4600966411.

It is a self number, because there is not a number n which added to its sum of digits gives 114669006400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20610019 + ... + 20615581.

Almost surely, 2^114669006400 is an apocalyptic number.

114669006400 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 114669006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152111569792).

114669006400 is an abundant number, since it is smaller than the sum of its proper divisors (189554133184).

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

114669006400 is a wasteful number, since it uses less digits than its factorization.

114669006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6589 (or 6574 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 114669006400 in words is "one hundred fourteen billion, six hundred sixty-nine million, six thousand, four hundred".