13048073338608 has 2160 divisors, whose sum is σ = 52667732382720. Its totient is φ = 3107163628800.

The previous prime is 13048073338543. The next prime is 13048073338633. The reversal of 13048073338608 is 80683337084031.

13048073338608 is a `hidden beast` number, since 1 + 3 + 0 + 480 + 73 + 3 + 38 + 60 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 420905591553 + ... + 420905591583.

Almost surely, 2^{13048073338608} is an apocalyptic number.

13048073338608 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 13048073338608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26333866191360).

13048073338608 is an abundant number, since it is smaller than the sum of its proper divisors (39619659044112).

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

13048073338608 is an equidigital number, since it uses as much as digits as its factorization.

13048073338608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 13048073338608 in words is "thirteen trillion, forty-eight billion, seventy-three million, three hundred thirty-eight thousand, six hundred eight".