114315144013532 has 192 divisors, whose sum is σ = 271671553843200. Its totient is φ = 40727805592320.

The previous prime is 114315144013531. The next prime is 114315144013583. The reversal of 114315144013532 is 235310441513411.

It is a super-2 number, since 2×114315144013532² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114315144013531) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 614759123 + ... + 614945045.

It is an arithmetic number, because the mean of its divisors is an integer number (1414956009600).

Almost surely, 2^{114315144013532} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114315144013532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135835776921600).

114315144013532 is an abundant number, since it is smaller than the sum of its proper divisors (157356409829668).

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

114315144013532 is a wasteful number, since it uses less digits than its factorization.

114315144013532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189616 (or 189614 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

Adding to 114315144013532 its reverse (235310441513411), we get a palindrome (349625585526943).

The spelling of 114315144013532 in words is "one hundred fourteen trillion, three hundred fifteen billion, one hundred forty-four million, thirteen thousand, five hundred thirty-two".