114511240155520 has 512 divisors, whose sum is σ = 303342903198720. Its totient is φ = 41069088571392.

The previous prime is 114511240155491. The next prime is 114511240155527. The reversal of 114511240155520 is 25551042115411.

It is a super-2 number, since 2×114511240155520² (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 114511240155520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114511240155527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74213375869 + ... + 74213377411.

It is an arithmetic number, because the mean of its divisors is an integer number (592466607810).

Almost surely, 2^{114511240155520} is an apocalyptic number.

114511240155520 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 114511240155520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151671451599360).

114511240155520 is an abundant number, since it is smaller than the sum of its proper divisors (188831663043200).

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

114511240155520 is a wasteful number, since it uses less digits than its factorization.

114511240155520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2634 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 37.

The spelling of 114511240155520 in words is "one hundred fourteen trillion, five hundred eleven billion, two hundred forty million, one hundred fifty-five thousand, five hundred twenty".