114352000400000 has 192 divisors, whose sum is σ = 310630983657120. Its totient is φ = 41582544000000.

The previous prime is 114352000399993. The next prime is 114352000400047. The reversal of 114352000400000 is 4000253411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8594546 + ... + 17394545.

Almost surely, 2^{114352000400000} is an apocalyptic number.

114352000400000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114352000400000 is an abundant number, since it is smaller than the sum of its proper divisors (196278983257120).

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

114352000400000 is an frugal number, since it uses more digits than its factorization.

114352000400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25989141 (or 25989109 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 114352000400000 its reverse (4000253411), we get a palindrome (114356000653411).

The spelling of 114352000400000 in words is "one hundred fourteen trillion, three hundred fifty-two billion, four hundred thousand".