19434957696 has 512 divisors, whose sum is σ = 72069120000. Its totient is φ = 5008988160.

The previous prime is 19434957673. The next prime is 19434957797. The reversal of 19434957696 is 69675943491.

19434957696 is a `hidden beast` number, since 19 + 4 + 3 + 49 + 576 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52956105 + ... + 52956471.

It is an arithmetic number, because the mean of its divisors is an integer number (140760000).

Almost surely, 2^19434957696 is an apocalyptic number.

19434957696 is a gapful number since it is divisible by the number (16) 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 19434957696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36034560000).

19434957696 is an abundant number, since it is smaller than the sum of its proper divisors (52634162304).

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

19434957696 is a wasteful number, since it uses less digits than its factorization.

19434957696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 589 counting only the distinct ones).

The product of its digits is 44089920, while the sum is 63.

The spelling of 19434957696 in words is "nineteen billion, four hundred thirty-four million, nine hundred fifty-seven thousand, six hundred ninety-six".