114511313432544 has 288 divisors, whose sum is σ = 351403830277920. Its totient is φ = 32555518636032.

The previous prime is 114511313432533. The next prime is 114511313432573. The reversal of 114511313432544 is 445234313115411.

It is a super-2 number, since 2×114511313432544² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 114511313432496 and 114511313432505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 830511642 + ... + 830649510.

It is an arithmetic number, because the mean of its divisors is an integer number (1220152188465).

Almost surely, 2^{114511313432544} is an apocalyptic number.

114511313432544 is a gapful number since it is divisible by the number (14) 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 114511313432544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175701915138960).

114511313432544 is an abundant number, since it is smaller than the sum of its proper divisors (236892516845376).

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

114511313432544 is a wasteful number, since it uses less digits than its factorization.

114511313432544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138770 (or 138755 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

Adding to 114511313432544 its reverse (445234313115411), we get a palindrome (559745626547955).

The spelling of 114511313432544 in words is "one hundred fourteen trillion, five hundred eleven billion, three hundred thirteen million, four hundred thirty-two thousand, five hundred forty-four".