114512345440 has 192 divisors, whose sum is σ = 290954280960. Its totient is φ = 42435993600.

The previous prime is 114512345383. The next prime is 114512345459. The reversal of 114512345440 is 44543215411.

It is a happy number.

It is a super-2 number, since 2×114512345440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 114512345396 and 114512345405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99488865 + ... + 99490015.

It is an arithmetic number, because the mean of its divisors is an integer number (1515386880).

Almost surely, 2^114512345440 is an apocalyptic number.

114512345440 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 114512345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145477140480).

114512345440 is an abundant number, since it is smaller than the sum of its proper divisors (176441935520).

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

114512345440 is a wasteful number, since it uses less digits than its factorization.

114512345440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The spelling of 114512345440 in words is "one hundred fourteen billion, five hundred twelve million, three hundred forty-five thousand, four hundred forty".