18903649724960 has 768 divisors, whose sum is σ = 61247882723328. Its totient is φ = 5322781900800.

The previous prime is 18903649724899. The next prime is 18903649724983. The reversal of 18903649724960 is 6942794630981.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3658532297 + ... + 3658537463.

It is an arithmetic number, because the mean of its divisors is an integer number (79749847296).

Almost surely, 2^{18903649724960} is an apocalyptic number.

18903649724960 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 18903649724960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30623941361664).

18903649724960 is an abundant number, since it is smaller than the sum of its proper divisors (42344232998368).

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

18903649724960 is a wasteful number, since it uses less digits than its factorization.

18903649724960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5697 (or 5689 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 68.

The spelling of 18903649724960 in words is "eighteen trillion, nine hundred three billion, six hundred forty-nine million, seven hundred twenty-four thousand, nine hundred sixty".