18961304160 has 192 divisors, whose sum is σ = 61798064832. Its totient is φ = 4883152896.

The previous prime is 18961304149. The next prime is 18961304177. The reversal of 18961304160 is 6140316981.

It is a congruent number.

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, 2429224 + ... + 2437016.

It is an arithmetic number, because the mean of its divisors is an integer number (321864921).

Almost surely, 2^18961304160 is an apocalyptic number.

18961304160 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 18961304160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30899032416).

18961304160 is an abundant number, since it is smaller than the sum of its proper divisors (42836760672).

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

18961304160 is a wasteful number, since it uses less digits than its factorization.

18961304160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7985 (or 7977 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 18961304160 in words is "eighteen billion, nine hundred sixty-one million, three hundred four thousand, one hundred sixty".