114257265540 has 144 divisors (see below), whose sum is σ = 370741904064. Its totient is φ = 26069350400.

The previous prime is 114257265527. The next prime is 114257265541. The reversal of 114257265540 is 45562752411.

114257265540 is digitally balanced in base 3, 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 = 114257265492 and 114257265501.

It is not an unprimeable number, because it can be changed into a prime (114257265541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108771 + ... + 490250.

It is an arithmetic number, because the mean of its divisors is an integer number (2574596556).

Almost surely, 2^114257265540 is an apocalyptic number.

114257265540 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 114257265540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185370952032).

114257265540 is an abundant number, since it is smaller than the sum of its proper divisors (256484638524).

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

114257265540 is a wasteful number, since it uses less digits than its factorization.

114257265540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599078 (or 599059 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 42.

The spelling of 114257265540 in words is "one hundred fourteen billion, two hundred fifty-seven million, two hundred sixty-five thousand, five hundred forty".