19128462816 has 96 divisors (see below), whose sum is σ = 50744564640. Its totient is φ = 6308757504.

The previous prime is 19128462811. The next prime is 19128462823. The reversal of 19128462816 is 61826482191.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19128462811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8340966 + ... + 8343258.

It is an arithmetic number, because the mean of its divisors is an integer number (528589215).

Almost surely, 2^19128462816 is an apocalyptic number.

19128462816 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 19128462816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25372282320).

19128462816 is an abundant number, since it is smaller than the sum of its proper divisors (31616101824).

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

19128462816 is a wasteful number, since it uses less digits than its factorization.

19128462816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3188 (or 3180 counting only the distinct ones).

The product of its digits is 331776, while the sum is 48.

The spelling of 19128462816 in words is "nineteen billion, one hundred twenty-eight million, four hundred sixty-two thousand, eight hundred sixteen".