114013544412320 has 96 divisors (see below), whose sum is σ = 309124589760000. Its totient is φ = 38926800009216.

The previous prime is 114013544412269. The next prime is 114013544412337. The reversal of 114013544412320 is 23214445310411.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212698445 + ... + 213233804.

It is an arithmetic number, because the mean of its divisors is an integer number (3220047810000).

Almost surely, 2^{114013544412320} is an apocalyptic number.

114013544412320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114013544412320 is an abundant number, since it is smaller than the sum of its proper divisors (195111045347680).

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

114013544412320 is a wasteful number, since it uses less digits than its factorization.

114013544412320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425932510 (or 425932502 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

Adding to 114013544412320 its reverse (23214445310411), we get a palindrome (137227989722731).

The spelling of 114013544412320 in words is "one hundred fourteen trillion, thirteen billion, five hundred forty-four million, four hundred twelve thousand, three hundred twenty".