13700506779648 has 1360 divisors, whose sum is σ = 47675199313280. Its totient is φ = 3900793946112.

The previous prime is 13700506779623. The next prime is 13700506779671. The reversal of 13700506779648 is 84697760500731.

13700506779648 is a `hidden beast` number, since 1 + 37 + 0 + 0 + 506 + 7 + 7 + 96 + 4 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 318616436715 + ... + 318616436757.

Almost surely, 2^{13700506779648} is an apocalyptic number.

13700506779648 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 13700506779648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23837599656640).

13700506779648 is an abundant number, since it is smaller than the sum of its proper divisors (33974692533632).

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

13700506779648 is an frugal number, since it uses more digits than its factorization.

13700506779648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 13700506779648 in words is "thirteen trillion, seven hundred billion, five hundred six million, seven hundred seventy-nine thousand, six hundred forty-eight".