114520634368 has 352 divisors, whose sum is σ = 299248473600. Its totient is φ = 42630905856.

The previous prime is 114520634353. The next prime is 114520634369. The reversal of 114520634368 is 863436025411.

It is a super-2 number, since 2×114520634368² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114520634369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81277248 + ... + 81278656.

Almost surely, 2^114520634368 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 114520634368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149624236800).

114520634368 is an abundant number, since it is smaller than the sum of its proper divisors (184727839232).

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

114520634368 is a wasteful number, since it uses less digits than its factorization.

114520634368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

Adding to 114520634368 its reverse (863436025411), we get a palindrome (977956659779).

The spelling of 114520634368 in words is "one hundred fourteen billion, five hundred twenty million, six hundred thirty-four thousand, three hundred sixty-eight".