14978921721600 has 432 divisors, whose sum is σ = 49808102014944. Its totient is φ = 3964207104000.

The previous prime is 14978921721487. The next prime is 14978921721601. The reversal of 14978921721600 is 612712987941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14978921721601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1810575064 + ... + 1810583336.

It is an arithmetic number, because the mean of its divisors is an integer number (115296532442).

Almost surely, 2^{14978921721600} is an apocalyptic number.

14978921721600 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 14978921721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24904051007472).

14978921721600 is an abundant number, since it is smaller than the sum of its proper divisors (34829180293344).

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

14978921721600 is a wasteful number, since it uses less digits than its factorization.

14978921721600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9004 (or 8985 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 57.

The spelling of 14978921721600 in words is "fourteen trillion, nine hundred seventy-eight billion, nine hundred twenty-one million, seven hundred twenty-one thousand, six hundred".