13671552048 has 320 divisors, whose sum is σ = 48134062080. Its totient is φ = 3233894400.

The previous prime is 13671552043. The next prime is 13671552073. The reversal of 13671552048 is 84025517631.

It is a happy number.

It is a super-2 number, since 2×13671552048² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (13671552043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1944283 + ... + 1951301.

It is an arithmetic number, because the mean of its divisors is an integer number (150418944).

Almost surely, 2^13671552048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13671552048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24067031040).

13671552048 is an abundant number, since it is smaller than the sum of its proper divisors (34462510032).

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

13671552048 is a wasteful number, since it uses less digits than its factorization.

13671552048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7096 (or 7090 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 13671552048 in words is "thirteen billion, six hundred seventy-one million, five hundred fifty-two thousand, forty-eight".