13148308800 has 840 divisors, whose sum is σ = 55153023552. Its totient is φ = 3041280000.

The previous prime is 13148308763. The next prime is 13148308853. The reversal of 13148308800 is 880384131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 32788600 + ... + 32789000.

Almost surely, 2^13148308800 is an apocalyptic number.

13148308800 is a gapful number since it is divisible by the number (10) 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 13148308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27576511776).

13148308800 is an abundant number, since it is smaller than the sum of its proper divisors (42004714752).

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

13148308800 is a wasteful number, since it uses less digits than its factorization.

13148308800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 13148308800 in words is "thirteen billion, one hundred forty-eight million, three hundred eight thousand, eight hundred".