19648971552 has 384 divisors, whose sum is σ = 65130283008. Its totient is φ = 5057740800.

The previous prime is 19648971539. The next prime is 19648971557. The reversal of 19648971552 is 25517984691.

It is a happy number.

Its product of digits (5443200) is a multiple of the sum of its prime factors (672).

It is a junction number, because it is equal to n+sod(n) for n = 19648971492 and 19648971501.

It is not an unprimeable number, because it can be changed into a prime (19648971557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40018027 + ... + 40018517.

It is an arithmetic number, because the mean of its divisors is an integer number (169610112).

Almost surely, 2^19648971552 is an apocalyptic number.

19648971552 is a gapful number since it is divisible by the number (12) 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 19648971552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32565141504).

19648971552 is an abundant number, since it is smaller than the sum of its proper divisors (45481311456).

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

19648971552 is a wasteful number, since it uses less digits than its factorization.

19648971552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 664 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 57.

The spelling of 19648971552 in words is "nineteen billion, six hundred forty-eight million, nine hundred seventy-one thousand, five hundred fifty-two".