19748542464 has 288 divisors, whose sum is σ = 65542932000. Its totient is φ = 5611585536.

The previous prime is 19748542459. The next prime is 19748542483. The reversal of 19748542464 is 46424584791.

19748542464 is a `hidden beast` number, since 1 + 97 + 4 + 8 + 542 + 4 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×19748542464² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 19748542464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34707172 + ... + 34707740.

It is an arithmetic number, because the mean of its divisors is an integer number (227579625).

Almost surely, 2^19748542464 is an apocalyptic number.

19748542464 is a gapful number since it is divisible by the number (14) 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 19748542464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32771466000).

19748542464 is an abundant number, since it is smaller than the sum of its proper divisors (45794389536).

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

19748542464 is a wasteful number, since it uses less digits than its factorization.

19748542464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 850 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 19748542464 in words is "nineteen billion, seven hundred forty-eight million, five hundred forty-two thousand, four hundred sixty-four".