114233760540 has 84 divisors (see below), whose sum is σ = 359671857384. Its totient is φ = 30462332256.

The previous prime is 114233760533. The next prime is 114233760593. The reversal of 114233760540 is 45067332411.

114233760540 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 3 + 3 + 7 + 605 + 40 = 666.

It is a super-2 number, since 2×114233760540² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 114233760495 and 114233760504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3902902 + ... + 3932061.

It is an arithmetic number, because the mean of its divisors is an integer number (4281807826).

Almost surely, 2^114233760540 is an apocalyptic number.

114233760540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114233760540 is an abundant number, since it is smaller than the sum of its proper divisors (245438096844).

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

114233760540 is an equidigital number, since it uses as much as digits as its factorization.

114233760540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7834990 (or 7834973 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 114233760540 in words is "one hundred fourteen billion, two hundred thirty-three million, seven hundred sixty thousand, five hundred forty".