18801456946720 has 192 divisors, whose sum is σ = 51015775829760. Its totient is φ = 6414301974528.

The previous prime is 18801456946703. The next prime is 18801456946763. The reversal of 18801456946720 is 2764965410881.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214244611 + ... + 214332349.

It is an arithmetic number, because the mean of its divisors is an integer number (265707165780).

Almost surely, 2^{18801456946720} is an apocalyptic number.

18801456946720 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 18801456946720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25507887914880).

18801456946720 is an abundant number, since it is smaller than the sum of its proper divisors (32214318883040).

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

18801456946720 is a wasteful number, since it uses less digits than its factorization.

18801456946720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88707 (or 88699 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 61.

The spelling of 18801456946720 in words is "eighteen trillion, eight hundred one billion, four hundred fifty-six million, nine hundred forty-six thousand, seven hundred twenty".