19409949648 has 240 divisors, whose sum is σ = 61577058816. Its totient is φ = 5892341760.

The previous prime is 19409949593. The next prime is 19409949677. The reversal of 19409949648 is 84694990491.

19409949648 is a `hidden beast` number, since 19 + 4 + 0 + 99 + 496 + 48 = 666.

It is a super-2 number, since 2×19409949648² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2044240 + ... + 2053712.

Almost surely, 2^19409949648 is an apocalyptic number.

19409949648 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 19409949648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30788529408).

19409949648 is an abundant number, since it is smaller than the sum of its proper divisors (42167109168).

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

19409949648 is a wasteful number, since it uses less digits than its factorization.

19409949648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9544 (or 9526 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 19409949648 in words is "nineteen billion, four hundred nine million, nine hundred forty-nine thousand, six hundred forty-eight".