13445352300 has 288 divisors, whose sum is σ = 41179864320. Its totient is φ = 3383424000.

The previous prime is 13445352257. The next prime is 13445352317. The reversal of 13445352300 is 325354431.

It is a super-2 number, since 2×13445352300² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 75113611 + ... + 75113789.

It is an arithmetic number, because the mean of its divisors is an integer number (142985640).

Almost surely, 2^13445352300 is an apocalyptic number.

13445352300 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 13445352300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20589932160).

13445352300 is an abundant number, since it is smaller than the sum of its proper divisors (27734512020).

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

13445352300 is a wasteful number, since it uses less digits than its factorization.

13445352300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The spelling of 13445352300 in words is "thirteen billion, four hundred forty-five million, three hundred fifty-two thousand, three hundred".