18741953438208 has 960 divisors, whose sum is σ = 74968385716224. Its totient is φ = 4348588032000.

The previous prime is 18741953438179. The next prime is 18741953438213. The reversal of 18741953438208 is 80283435914781.

18741953438208 is a `hidden beast` number, since 1 + 8 + 7 + 4 + 19 + 534 + 3 + 82 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 142925313 + ... + 143056383.

Almost surely, 2^{18741953438208} is an apocalyptic number.

18741953438208 is a gapful number since it is divisible by the number (18) 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 18741953438208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37484192858112).

18741953438208 is an abundant number, since it is smaller than the sum of its proper divisors (56226432278016).

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

18741953438208 is a wasteful number, since it uses less digits than its factorization.

18741953438208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131157 (or 131138 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 18741953438208 in words is "eighteen trillion, seven hundred forty-one billion, nine hundred fifty-three million, four hundred thirty-eight thousand, two hundred eight".