114952962449520 has 1440 divisors, whose sum is σ = 460596960532800. Its totient is φ = 26581181792256.

The previous prime is 114952962449471. The next prime is 114952962449537. The reversal of 114952962449520 is 25944269259411.

It is a happy number.

114952962449520 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 5 + 2 + 9 + 62 + 4 + 49 + 520 = 666.

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 287 ways as a sum of consecutive naturals, for example, 3525174976 + ... + 3525207584.

It is an arithmetic number, because the mean of its divisors is an integer number (319859000370).

Almost surely, 2^{114952962449520} is an apocalyptic number.

114952962449520 is a gapful number since it is divisible by the number (10) 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 114952962449520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230298480266400).

114952962449520 is an abundant number, since it is smaller than the sum of its proper divisors (345643998083280).

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

114952962449520 is a wasteful number, since it uses less digits than its factorization.

114952962449520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32729 (or 32698 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 114952962449520 in words is "one hundred fourteen trillion, nine hundred fifty-two billion, nine hundred sixty-two million, four hundred forty-nine thousand, five hundred twenty".