18761930738000 has 40 divisors (see below), whose sum is σ = 45366348529320. Its totient is φ = 7504772294400.

The previous prime is 18761930737981. The next prime is 18761930738009. The reversal of 18761930738000 is 83703916781.

It can be written as a sum of positive squares in 4 ways, for example, as 284071944256 + 18477858793744 = 532984^2 + 4298588^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18761930738009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4690480685 + ... + 4690484684.

It is an arithmetic number, because the mean of its divisors is an integer number (1134158713233).

Almost surely, 2^{18761930738000} is an apocalyptic number.

18761930738000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18761930738000 is an abundant number, since it is smaller than the sum of its proper divisors (26604417791320).

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

18761930738000 is an equidigital number, since it uses as much as digits as its factorization.

18761930738000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9380965392 (or 9380965376 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 53.

The spelling of 18761930738000 in words is "eighteen trillion, seven hundred sixty-one billion, nine hundred thirty million, seven hundred thirty-eight thousand".