114056497765572 has 96 divisors (see below), whose sum is σ = 282016006594560. Its totient is φ = 35753311050240.

The previous prime is 114056497765531. The next prime is 114056497765579. The reversal of 114056497765572 is 275567794650411.

114056497765572 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 114056497765497 and 114056497765506.

It is not an unprimeable number, because it can be changed into a prime (114056497765579) 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, 3242895547 + ... + 3242930717.

It is an arithmetic number, because the mean of its divisors is an integer number (2937666735360).

Almost surely, 2^{114056497765572} is an apocalyptic number.

114056497765572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114056497765572 is an abundant number, since it is smaller than the sum of its proper divisors (167959508828988).

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

114056497765572 is a wasteful number, since it uses less digits than its factorization.

114056497765572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47681 (or 47679 counting only the distinct ones).

The product of its (nonzero) digits is 444528000, while the sum is 69.

The spelling of 114056497765572 in words is "one hundred fourteen trillion, fifty-six billion, four hundred ninety-seven million, seven hundred sixty-five thousand, five hundred seventy-two".