13180874370048 has 2816 divisors, whose sum is σ = 53245005004800. Its totient is φ = 3121348608000.

The previous prime is 13180874370031. The next prime is 13180874370071. The reversal of 13180874370048 is 84007347808131.

13180874370048 is a `hidden beast` number, since 13 + 1 + 80 + 87 + 437 + 0 + 0 + 48 = 666.

13180874370048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2816).

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 = 13180874369976 and 13180874370003.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 135885302736 + ... + 135885302832.

Almost surely, 2^{13180874370048} is an apocalyptic number.

13180874370048 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 13180874370048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26622502502400).

13180874370048 is an abundant number, since it is smaller than the sum of its proper divisors (40064130634752).

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

13180874370048 is a wasteful number, since it uses less digits than its factorization.

13180874370048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 13180874370048 in words is "thirteen trillion, one hundred eighty billion, eight hundred seventy-four million, three hundred seventy thousand, forty-eight".