114412145045130 has 192 divisors, whose sum is σ = 305882347680000. Its totient is φ = 29659603424256.

The previous prime is 114412145045119. The next prime is 114412145045171. The reversal of 114412145045130 is 31540541214411.

114412145045130 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 1 + 2 + 14 + 504 + 5 + 130 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 387625846 + ... + 387920894.

It is an arithmetic number, because the mean of its divisors is an integer number (1593137227500).

Almost surely, 2^{114412145045130} is an apocalyptic number.

114412145045130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114412145045130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152941173840000).

114412145045130 is an abundant number, since it is smaller than the sum of its proper divisors (191470202634870).

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

114412145045130 is a wasteful number, since it uses less digits than its factorization.

114412145045130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295933 (or 295930 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 114412145045130 its reverse (31540541214411), we get a palindrome (145952686259541).

The spelling of 114412145045130 in words is "one hundred fourteen trillion, four hundred twelve billion, one hundred forty-five million, forty-five thousand, one hundred thirty".