19248344640 has 252 divisors, whose sum is σ = 77016039516. Its totient is φ = 4399589376.

The previous prime is 19248344617. The next prime is 19248344659. The reversal of 19248344640 is 4644384291.

19248344640 is a `hidden beast` number, since 1 + 9 + 248 + 344 + 64 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4248953856 + 14999390784 = 65184^2 + 122472^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72922 + ... + 209318.

Almost surely, 2^19248344640 is an apocalyptic number.

19248344640 is a gapful number since it is divisible by the number (10) 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 19248344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38508019758).

19248344640 is an abundant number, since it is smaller than the sum of its proper divisors (57767694876).

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

19248344640 is a wasteful number, since it uses less digits than its factorization.

19248344640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136434 (or 136414 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 19248344640 in words is "nineteen billion, two hundred forty-eight million, three hundred forty-four thousand, six hundred forty".