114312533413040 has 160 divisors (see below), whose sum is σ = 279286215014400. Its totient is φ = 43457853542400.

The previous prime is 114312533413027. The next prime is 114312533413049. The reversal of 114312533413040 is 40314335213411.

It is not an unprimeable number, because it can be changed into a prime (114312533413049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53959736 + ... + 56038184.

It is an arithmetic number, because the mean of its divisors is an integer number (1745538843840).

Almost surely, 2^{114312533413040} is an apocalyptic number.

114312533413040 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 114312533413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139643107507200).

114312533413040 is an abundant number, since it is smaller than the sum of its proper divisors (164973681601360).

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

114312533413040 is a wasteful number, since it uses less digits than its factorization.

114312533413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078891 (or 2078885 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

Adding to 114312533413040 its reverse (40314335213411), we get a palindrome (154626868626451).

The spelling of 114312533413040 in words is "one hundred fourteen trillion, three hundred twelve billion, five hundred thirty-three million, four hundred thirteen thousand, forty".