114511322015540 has 96 divisors (see below), whose sum is σ = 248044517468160. Its totient is φ = 44387242099200.

The previous prime is 114511322015443. The next prime is 114511322015549. The reversal of 114511322015540 is 45510223115411.

It is a happy number.

It is a super-2 number, since 2×114511322015540² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114511322015540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114511322015549) 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, 43340870 + ... + 45907010.

It is an arithmetic number, because the mean of its divisors is an integer number (2583797056960).

Almost surely, 2^{114511322015540} is an apocalyptic number.

114511322015540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114511322015540 is an abundant number, since it is smaller than the sum of its proper divisors (133533195452620).

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

114511322015540 is a wasteful number, since it uses less digits than its factorization.

114511322015540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2566753 (or 2566751 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 35.

The spelling of 114511322015540 in words is "one hundred fourteen trillion, five hundred eleven billion, three hundred twenty-two million, fifteen thousand, five hundred forty".