19460072448 has 440 divisors, whose sum is σ = 63362297592. Its totient is φ = 5924192256.

The previous prime is 19460072311. The next prime is 19460072497. The reversal of 19460072448 is 84427006491.

19460072448 is a `hidden beast` number, since 19 + 4 + 600 + 7 + 24 + 4 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9815261184 + 9644811264 = 99072^2 + 98208^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52171590 + ... + 52171962.

Almost surely, 2^19460072448 is an apocalyptic number.

19460072448 is a gapful number since it is divisible by the number (18) 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 19460072448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31681148796).

19460072448 is an abundant number, since it is smaller than the sum of its proper divisors (43902225144).

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

19460072448 is a wasteful number, since it uses less digits than its factorization.

19460072448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 19460072448 in words is "nineteen billion, four hundred sixty million, seventy-two thousand, four hundred forty-eight".