19346480928 has 144 divisors (see below), whose sum is σ = 57048001920. Its totient is φ = 6211763712.

The previous prime is 19346480917. The next prime is 19346480953. The reversal of 19346480928 is 82908464391.

19346480928 is a `hidden beast` number, since 1 + 93 + 464 + 8 + 0 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 3864475 + ... + 3869477.

It is an arithmetic number, because the mean of its divisors is an integer number (396166680).

Almost surely, 2^19346480928 is an apocalyptic number.

19346480928 is a gapful number since it is divisible by the number (18) 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 19346480928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28524000960).

19346480928 is an abundant number, since it is smaller than the sum of its proper divisors (37701520992).

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

19346480928 is a wasteful number, since it uses less digits than its factorization.

19346480928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5511 (or 5500 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 19346480928 in words is "nineteen billion, three hundred forty-six million, four hundred eighty thousand, nine hundred twenty-eight".