13002711478848 has 588 divisors, whose sum is σ = 48463498086780. Its totient is φ = 3429278705664.

The previous prime is 13002711478837. The next prime is 13002711478877. The reversal of 13002711478848 is 84887411720031.

It is a happy number.

13002711478848 is a `hidden beast` number, since 130 + 0 + 27 + 11 + 478 + 8 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4583846744064 + 8418864734784 = 2140992^2 + 2901528^2 .

It is a tau number, because it is divible by the number of its divisors (588).

It is a super-3 number, since 3×13002711478848³ (a number of 40 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13002711478794 and 13002711478803.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 29501118 + ... + 29938626.

Almost surely, 2^{13002711478848} is an apocalyptic number.

13002711478848 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 13002711478848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24231749043390).

13002711478848 is an abundant number, since it is smaller than the sum of its proper divisors (35460786607932).

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

13002711478848 is an equidigital number, since it uses as much as digits as its factorization.

13002711478848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437566 (or 437534 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 13002711478848 in words is "thirteen trillion, two billion, seven hundred eleven million, four hundred seventy-eight thousand, eight hundred forty-eight".