114540105624 has 256 divisors, whose sum is σ = 354668544000. Its totient is φ = 30705905664.

The previous prime is 114540105623. The next prime is 114540105649. The reversal of 114540105624 is 426501045411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114540105623) 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, 53597484 + ... + 53599620.

It is an arithmetic number, because the mean of its divisors is an integer number (1385424000).

Almost surely, 2^114540105624 is an apocalyptic number.

114540105624 is a gapful number since it is divisible by the number (14) 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 114540105624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177334272000).

114540105624 is an abundant number, since it is smaller than the sum of its proper divisors (240128438376).

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

114540105624 is a wasteful number, since it uses less digits than its factorization.

114540105624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567 (or 2549 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 114540105624 in words is "one hundred fourteen billion, five hundred forty million, one hundred five thousand, six hundred twenty-four".