114241053555132 has 768 divisors, whose sum is σ = 339880181760000. Its totient is φ = 29158588293120.

The previous prime is 114241053555131. The next prime is 114241053555143. The reversal of 114241053555132 is 231555350142411.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114241053555131) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 38093047369 + ... + 38093050367.

It is an arithmetic number, because the mean of its divisors is an integer number (442552320000).

Almost surely, 2^{114241053555132} is an apocalyptic number.

114241053555132 is a gapful number since it is divisible by the number (12) 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 114241053555132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169940090880000).

114241053555132 is an abundant number, since it is smaller than the sum of its proper divisors (225639128204868).

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

114241053555132 is a wasteful number, since it uses less digits than its factorization.

114241053555132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3326 (or 3324 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 42.

The spelling of 114241053555132 in words is "one hundred fourteen trillion, two hundred forty-one billion, fifty-three million, five hundred fifty-five thousand, one hundred thirty-two".