38426611518768 has 120 divisors (see below), whose sum is σ = 109149069568000. Its totient is φ = 11640640429440.

The previous prime is 38426611518733. The next prime is 38426611518769. The reversal of 38426611518768 is 86781511662483.

It is a hoax number, since the sum of its digits (66) 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 (66).

It is a junction number, because it is equal to n+sod(n) for n = 38426611518699 and 38426611518708.

It is not an unprimeable number, because it can be changed into a prime (38426611518769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16808433 + ... + 18957231.

Almost surely, 2^{38426611518768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38426611518768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54574534784000).

38426611518768 is an abundant number, since it is smaller than the sum of its proper divisors (70722458049232).

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

38426611518768 is a wasteful number, since it uses less digits than its factorization.

38426611518768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151911 (or 2151894 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 66.

The spelling of 38426611518768 in words is "thirty-eight trillion, four hundred twenty-six billion, six hundred eleven million, five hundred eighteen thousand, seven hundred sixty-eight".