114141354000 has 160 divisors (see below), whose sum is σ = 369181013760. Its totient is φ = 30339328000.

The previous prime is 114141353987. The next prime is 114141354023. The reversal of 114141354000 is 453141411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1835416 + ... + 1896584.

It is an arithmetic number, because the mean of its divisors is an integer number (2307381336).

Almost surely, 2^114141354000 is an apocalyptic number.

114141354000 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 114141354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184590506880).

114141354000 is an abundant number, since it is smaller than the sum of its proper divisors (255039659760).

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

114141354000 is a wasteful number, since it uses less digits than its factorization.

114141354000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61506 (or 61490 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 114141354000 its reverse (453141411), we get a palindrome (114594495411).

The spelling of 114141354000 in words is "one hundred fourteen billion, one hundred forty-one million, three hundred fifty-four thousand".