18945290882934 has 192 divisors, whose sum is σ = 48663695808000. Its totient is φ = 5270627045376.

The previous prime is 18945290882929. The next prime is 18945290882941. The reversal of 18945290882934 is 43928809254981.

18945290882934 is a `hidden beast` number, since 1 + 8 + 9 + 4 + 529 + 0 + 8 + 8 + 2 + 93 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45707529 + ... + 46120155.

It is an arithmetic number, because the mean of its divisors is an integer number (253456749000).

Almost surely, 2^{18945290882934} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18945290882934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24331847904000).

18945290882934 is an abundant number, since it is smaller than the sum of its proper divisors (29718404925066).

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

18945290882934 is a wasteful number, since it uses less digits than its factorization.

18945290882934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413139 (or 413136 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 18945290882934 in words is "eighteen trillion, nine hundred forty-five billion, two hundred ninety million, eight hundred eighty-two thousand, nine hundred thirty-four".