19001841353136 has 80 divisors (see below), whose sum is σ = 54543307417600. Its totient is φ = 6333832729152.

The previous prime is 19001841353107. The next prime is 19001841353161. The reversal of 19001841353136 is 63135314810091.

19001841353136 is a `hidden beast` number, since 1 + 9 + 0 + 0 + 1 + 84 + 1 + 3 + 531 + 36 = 666.

It is a super-2 number, since 2×19001841353136² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19001841353091 and 19001841353100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25503945 + ... + 26238423.

It is an arithmetic number, because the mean of its divisors is an integer number (681791342720).

Almost surely, 2^{19001841353136} is an apocalyptic number.

19001841353136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

19001841353136 is an abundant number, since it is smaller than the sum of its proper divisors (35541466064464).

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

19001841353136 is a wasteful number, since it uses less digits than its factorization.

19001841353136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794383 (or 794371 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 19001841353136 in words is "nineteen trillion, one billion, eight hundred forty-one million, three hundred fifty-three thousand, one hundred thirty-six".