19146043980336 has 320 divisors, whose sum is σ = 62313123704832. Its totient is φ = 4930267862016.

The previous prime is 19146043980307. The next prime is 19146043980337. The reversal of 19146043980336 is 63308934064191.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (19146043980337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 556505311 + ... + 556539713.

Almost surely, 2^{19146043980336} is an apocalyptic number.

19146043980336 is a gapful number since it is divisible by the number (16) 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 19146043980336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31156561852416).

19146043980336 is an abundant number, since it is smaller than the sum of its proper divisors (43167079724496).

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

19146043980336 is a wasteful number, since it uses less digits than its factorization.

19146043980336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37440 (or 37434 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 57.

The spelling of 19146043980336 in words is "nineteen trillion, one hundred forty-six billion, forty-three million, nine hundred eighty thousand, three hundred thirty-six".