114914210460 has 384 divisors, whose sum is σ = 407973888000. Its totient is φ = 23562316800.

The previous prime is 114914210431. The next prime is 114914210473. The reversal of 114914210460 is 64012419411.

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 127 ways as a sum of consecutive naturals, for example, 18534441 + ... + 18540639.

It is an arithmetic number, because the mean of its divisors is an integer number (1062432000).

Almost surely, 2^114914210460 is an apocalyptic number.

114914210460 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 114914210460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203986944000).

114914210460 is an abundant number, since it is smaller than the sum of its proper divisors (293059677540).

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

114914210460 is a wasteful number, since it uses less digits than its factorization.

114914210460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6361 (or 6359 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

Adding to 114914210460 its reverse (64012419411), we get a palindrome (178926629871).

The spelling of 114914210460 in words is "one hundred fourteen billion, nine hundred fourteen million, two hundred ten thousand, four hundred sixty".