19934014464 has 880 divisors, whose sum is σ = 77674643200. Its totient is φ = 4944789504.

The previous prime is 19934014453. The next prime is 19934014469. The reversal of 19934014464 is 46441043991.

It is a super-2 number, since 2×19934014464² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19934014469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 143410107 + ... + 143410245.

It is an arithmetic number, because the mean of its divisors is an integer number (88266640).

Almost surely, 2^19934014464 is an apocalyptic number.

19934014464 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 19934014464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38837321600).

19934014464 is an abundant number, since it is smaller than the sum of its proper divisors (57740628736).

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

19934014464 is a wasteful number, since it uses less digits than its factorization.

19934014464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 19934014464 in words is "nineteen billion, nine hundred thirty-four million, fourteen thousand, four hundred sixty-four".