114620136288000 has 2304 divisors, whose sum is σ = 469890234777600. Its totient is φ = 24180631142400.

The previous prime is 114620136287983. The next prime is 114620136288059. The reversal of 114620136288000 is 882631026411.

It is a happy number.

114620136288000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 245439263767 + ... + 245439264233.

It is an arithmetic number, because the mean of its divisors is an integer number (203945414400).

Almost surely, 2^{114620136288000} is an apocalyptic number.

114620136288000 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 114620136288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234945117388800).

114620136288000 is an abundant number, since it is smaller than the sum of its proper divisors (355270098489600).

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

114620136288000 is a wasteful number, since it uses less digits than its factorization.

114620136288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 114620136288000 in words is "one hundred fourteen trillion, six hundred twenty billion, one hundred thirty-six million, two hundred eighty-eight thousand".