14890296960 has 1536 divisors, whose sum is σ = 71630438400. Its totient is φ = 2836684800.

The previous prime is 14890296901. The next prime is 14890296973. The reversal of 14890296960 is 6969209841.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 14890296897 and 14890296906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 480332145 + ... + 480332175.

It is an arithmetic number, because the mean of its divisors is an integer number (46634400).

Almost surely, 2^14890296960 is an apocalyptic number.

14890296960 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 14890296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35815219200).

14890296960 is an abundant number, since it is smaller than the sum of its proper divisors (56740141440).

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

14890296960 is a wasteful number, since it uses less digits than its factorization.

14890296960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 14890296960 in words is "fourteen billion, eight hundred ninety million, two hundred ninety-six thousand, nine hundred sixty".