19138106496 has 128 divisors (see below), whose sum is σ = 51616128960. Its totient is φ = 6282199040.

The previous prime is 19138106483. The next prime is 19138106509. The reversal of 19138106496 is 69460183191.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (19138106483) and next prime (19138106509).

It is a tau number, because it is divible by the number of its divisors (128).

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

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 15 ways as a sum of consecutive naturals, for example, 6890260 + ... + 6893036.

Almost surely, 2^19138106496 is an apocalyptic number.

19138106496 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 19138106496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25808064480).

19138106496 is an abundant number, since it is smaller than the sum of its proper divisors (32478022464).

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

19138106496 is a wasteful number, since it uses less digits than its factorization.

19138106496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3062 (or 3050 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The spelling of 19138106496 in words is "nineteen billion, one hundred thirty-eight million, one hundred six thousand, four hundred ninety-six".