114415331541200 has 240 divisors, whose sum is σ = 295203129004800. Its totient is φ = 42482568960000.

The previous prime is 114415331541197. The next prime is 114415331541209. The reversal of 114415331541200 is 2145133514411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114415331541209) 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, 302313686 + ... + 302691914.

It is an arithmetic number, because the mean of its divisors is an integer number (1230013037520).

Almost surely, 2^{114415331541200} is an apocalyptic number.

114415331541200 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 114415331541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147601564502400).

114415331541200 is an abundant number, since it is smaller than the sum of its proper divisors (180787797463600).

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

114415331541200 is a wasteful number, since it uses less digits than its factorization.

114415331541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379070 (or 379059 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 114415331541200 in words is "one hundred fourteen trillion, four hundred fifteen billion, three hundred thirty-one million, five hundred forty-one thousand, two hundred".