19468181824 has 336 divisors, whose sum is σ = 50970850560. Its totient is φ = 7181475840.

The previous prime is 19468181819. The next prime is 19468181827. The reversal of 19468181824 is 42818186491.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19468181827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218743572 + ... + 218743660.

It is an arithmetic number, because the mean of its divisors is an integer number (151698960).

Almost surely, 2^19468181824 is an apocalyptic number.

19468181824 is a gapful number since it is divisible by the number (14) 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 19468181824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25485425280).

19468181824 is an abundant number, since it is smaller than the sum of its proper divisors (31502668736).

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

19468181824 is a wasteful number, since it uses less digits than its factorization.

19468181824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 205 counting only the distinct ones).

The product of its digits is 884736, while the sum is 52.

The spelling of 19468181824 in words is "nineteen billion, four hundred sixty-eight million, one hundred eighty-one thousand, eight hundred twenty-four".