19148945920 has 160 divisors (see below), whose sum is σ = 51151882320. Its totient is φ = 6826229760.

The previous prime is 19148945909. The next prime is 19148945947. The reversal of 19148945920 is 2954984191.

It can be written as a sum of positive squares in 8 ways, for example, as 639887616 + 18509058304 = 25296^2 + 136048^2 .

It is a tau number, because it is divible by the number of its divisors (160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 955200 + ... + 975040.

Almost surely, 2^19148945920 is an apocalyptic number.

19148945920 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 19148945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25575941160).

19148945920 is an abundant number, since it is smaller than the sum of its proper divisors (32002936400).

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

19148945920 is a wasteful number, since it uses less digits than its factorization.

19148945920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19906 (or 19890 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 52.

The spelling of 19148945920 in words is "nineteen billion, one hundred forty-eight million, nine hundred forty-five thousand, nine hundred twenty".