13106538648 has 192 divisors, whose sum is σ = 40982760000. Its totient is φ = 3706684416.

The previous prime is 13106538623. The next prime is 13106538659. The reversal of 13106538648 is 84683560131.

13106538648 is a `hidden beast` number, since 1 + 3 + 106 + 538 + 6 + 4 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37554378 + ... + 37554726.

It is an arithmetic number, because the mean of its divisors is an integer number (213451875).

Almost surely, 2^13106538648 is an apocalyptic number.

13106538648 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 13106538648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20491380000).

13106538648 is an abundant number, since it is smaller than the sum of its proper divisors (27876221352).

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

13106538648 is a wasteful number, since it uses less digits than its factorization.

13106538648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 13106538648 in words is "thirteen billion, one hundred six million, five hundred thirty-eight thousand, six hundred forty-eight".