13321633248 has 576 divisors, whose sum is σ = 51602503680. Its totient is φ = 3275251200.

The previous prime is 13321633223. The next prime is 13321633289. The reversal of 13321633248 is 84233612331.

13321633248 is a `hidden beast` number, since 1 + 3 + 321 + 6 + 3 + 324 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11375703 + ... + 11376873.

It is an arithmetic number, because the mean of its divisors is an integer number (89587680).

Almost surely, 2^13321633248 is an apocalyptic number.

13321633248 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 13321633248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25801251840).

13321633248 is an abundant number, since it is smaller than the sum of its proper divisors (38280870432).

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

13321633248 is a wasteful number, since it uses less digits than its factorization.

13321633248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1213 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

It can be divided in two parts, 133216 and 33248, that added together give a square (166464 = 408²).

The spelling of 13321633248 in words is "thirteen billion, three hundred twenty-one million, six hundred thirty-three thousand, two hundred forty-eight".