114952361472 has 720 divisors, whose sum is σ = 401271258960. Its totient is φ = 31468290048.

The previous prime is 114952361437. The next prime is 114952361477. The reversal of 114952361472 is 274163259411.

114952361472 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 5 + 23 + 614 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114952361477) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 251536668 + ... + 251537124.

It is an arithmetic number, because the mean of its divisors is an integer number (557321193).

Almost surely, 2^114952361472 is an apocalyptic number.

114952361472 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 114952361472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200635629480).

114952361472 is an abundant number, since it is smaller than the sum of its proper divisors (286318897488).

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

114952361472 is a wasteful number, since it uses less digits than its factorization.

114952361472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 511 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 114952361472 in words is "one hundred fourteen billion, nine hundred fifty-two million, three hundred sixty-one thousand, four hundred seventy-two".