114532142121552 has 40 divisors (see below), whose sum is σ = 306077276363040. Its totient is φ = 36860919303040.

The previous prime is 114532142121547. The next prime is 114532142121569. The reversal of 114532142121552 is 255121241235411.

It is a super-2 number, since 2×114532142121552² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114532142121552.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41139417474 + ... + 41139420257.

It is an arithmetic number, because the mean of its divisors is an integer number (7651931909076).

Almost surely, 2^{114532142121552} is an apocalyptic number.

114532142121552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114532142121552 is an abundant number, since it is smaller than the sum of its proper divisors (191545134241488).

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

114532142121552 is a wasteful number, since it uses less digits than its factorization.

114532142121552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82278837771 (or 82278837765 counting only the distinct ones).

The product of its digits is 96000, while the sum is 39.

Adding to 114532142121552 its reverse (255121241235411), we get a palindrome (369653383356963).

The spelling of 114532142121552 in words is "one hundred fourteen trillion, five hundred thirty-two billion, one hundred forty-two million, one hundred twenty-one thousand, five hundred fifty-two".