14901333120 has 192 divisors, whose sum is σ = 51624813240. Its totient is φ = 3960668160.

The previous prime is 14901333079. The next prime is 14901333131. The reversal of 14901333120 is 2133310941.

It can be written as a sum of positive squares in 4 ways, for example, as 7189683264 + 7711649856 = 84792^2 + 87816^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1821840 + ... + 1830000.

Almost surely, 2^14901333120 is an apocalyptic number.

14901333120 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 14901333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25812406620).

14901333120 is an abundant number, since it is smaller than the sum of its proper divisors (36723480120).

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

14901333120 is a wasteful number, since it uses less digits than its factorization.

14901333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8503 (or 8488 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 14901333120 in words is "fourteen billion, nine hundred one million, three hundred thirty-three thousand, one hundred twenty".