19991419164 has 240 divisors, whose sum is σ = 56905390080. Its totient is φ = 6099649920.

The previous prime is 19991419157. The next prime is 19991419169. The reversal of 19991419164 is 46191419991.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 19991419164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19991419169) 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 79 ways as a sum of consecutive naturals, for example, 23164597 + ... + 23165459.

It is an arithmetic number, because the mean of its divisors is an integer number (237105792).

Almost surely, 2^19991419164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19991419164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28452695040).

19991419164 is an abundant number, since it is smaller than the sum of its proper divisors (36913970916).

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

19991419164 is a wasteful number, since it uses less digits than its factorization.

19991419164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1011 counting only the distinct ones).

The product of its digits is 629856, while the sum is 54.

The spelling of 19991419164 in words is "nineteen billion, nine hundred ninety-one million, four hundred nineteen thousand, one hundred sixty-four".