19329046464 has 252 divisors, whose sum is σ = 64424609784. Its totient is φ = 5097351168.

The previous prime is 19329046453. The next prime is 19329046481. The reversal of 19329046464 is 46464092391.

It is a super-2 number, since 2×19329046464² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1583874 + ... + 1596030.

Almost surely, 2^19329046464 is an apocalyptic number.

19329046464 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 19329046464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32212304892).

19329046464 is an abundant number, since it is smaller than the sum of its proper divisors (45095563320).

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

19329046464 is a wasteful number, since it uses less digits than its factorization.

19329046464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12212 (or 12182 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 19329046464 in words is "nineteen billion, three hundred twenty-nine million, forty-six thousand, four hundred sixty-four".