19479352623768 has 256 divisors, whose sum is σ = 56348877312000. Its totient is φ = 6230802009600.

The previous prime is 19479352623743. The next prime is 19479352623799. The reversal of 19479352623768 is 86732625397491.

It is a happy number.

19479352623768 is a `hidden beast` number, since 1 + 9 + 4 + 7 + 9 + 3 + 526 + 2 + 37 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 19479352623696 and 19479352623705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130388698 + ... + 130538006.

It is an arithmetic number, because the mean of its divisors is an integer number (220112802000).

Almost surely, 2^{19479352623768} is an apocalyptic number.

19479352623768 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 19479352623768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28174438656000).

19479352623768 is an abundant number, since it is smaller than the sum of its proper divisors (36869524688232).

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

19479352623768 is a wasteful number, since it uses less digits than its factorization.

19479352623768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149623 (or 149613 counting only the distinct ones).

The product of its digits is 823011840, while the sum is 72.

The spelling of 19479352623768 in words is "nineteen trillion, four hundred seventy-nine billion, three hundred fifty-two million, six hundred twenty-three thousand, seven hundred sixty-eight".