114511204445440 has 144 divisors (see below), whose sum is σ = 302188218103296. Its totient is φ = 41228155904000.

The previous prime is 114511204445423. The next prime is 114511204445587. The reversal of 114511204445440 is 44544402115411.

It is a super-2 number, since 2×114511204445440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 114511204445393 and 114511204445402.

It is a congruent number.

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, 38839792 + ... + 41683951.

It is an arithmetic number, because the mean of its divisors is an integer number (2098529292384).

Almost surely, 2^{114511204445440} is an apocalyptic number.

114511204445440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114511204445440 is an abundant number, since it is smaller than the sum of its proper divisors (187677013657856).

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

114511204445440 is a wasteful number, since it uses less digits than its factorization.

114511204445440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80523876 (or 80523862 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 40.

The spelling of 114511204445440 in words is "one hundred fourteen trillion, five hundred eleven billion, two hundred four million, four hundred forty-five thousand, four hundred forty".