19491948000 has 1536 divisors, whose sum is σ = 90574848000. Its totient is φ = 3968870400.

The previous prime is 19491947983. The next prime is 19491948011. The reversal of 19491948000 is 84919491.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 330371971 + ... + 330372029.

It is an arithmetic number, because the mean of its divisors is an integer number (58968000).

Almost surely, 2^19491948000 is an apocalyptic number.

19491948000 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 19491948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45287424000).

19491948000 is an abundant number, since it is smaller than the sum of its proper divisors (71082900000).

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

19491948000 is a wasteful number, since it uses less digits than its factorization.

19491948000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 19491948000 in words is "nineteen billion, four hundred ninety-one million, nine hundred forty-eight thousand".