19461242864 has 160 divisors (see below), whose sum is σ = 46590589440. Its totient is φ = 7685922816.

The previous prime is 19461242863. The next prime is 19461242887. The reversal of 19461242864 is 46824216491.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19461242863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22655267 + ... + 22656125.

It is an arithmetic number, because the mean of its divisors is an integer number (291191184).

Almost surely, 2^19461242864 is an apocalyptic number.

19461242864 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 19461242864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23295294720).

19461242864 is an abundant number, since it is smaller than the sum of its proper divisors (27129346576).

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

19461242864 is a wasteful number, since it uses less digits than its factorization.

19461242864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1121 counting only the distinct ones).

The product of its digits is 663552, while the sum is 47.

The spelling of 19461242864 in words is "nineteen billion, four hundred sixty-one million, two hundred forty-two thousand, eight hundred sixty-four".