114841972485504 has 384 divisors, whose sum is σ = 373771495574400. Its totient is φ = 34687201950720.

The previous prime is 114841972485503. The next prime is 114841972485509. The reversal of 114841972485504 is 405584279148411.

It is a happy number.

114841972485504 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 4 + 1 + 9 + 72 + 4 + 8 + 550 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×114841972485504² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114841972485503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127932759 + ... + 128827305.

It is an arithmetic number, because the mean of its divisors is an integer number (973363269725).

Almost surely, 2^{114841972485504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114841972485504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186885747787200).

114841972485504 is an abundant number, since it is smaller than the sum of its proper divisors (258929523088896).

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

114841972485504 is a wasteful number, since it uses less digits than its factorization.

114841972485504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894899 (or 894870 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 114841972485504 in words is "one hundred fourteen trillion, eight hundred forty-one billion, nine hundred seventy-two million, four hundred eighty-five thousand, five hundred four".