13345469280 has 960 divisors, whose sum is σ = 58398278400. Its totient is φ = 2821754880.

The previous prime is 13345469243. The next prime is 13345469281. The reversal of 13345469280 is 8296454331.

13345469280 is a `hidden beast` number, since 1 + 33 + 454 + 6 + 92 + 80 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13345469281) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 35212131 + ... + 35212509.

It is an arithmetic number, because the mean of its divisors is an integer number (60831540).

Almost surely, 2^13345469280 is an apocalyptic number.

13345469280 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 13345469280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29199139200).

13345469280 is an abundant number, since it is smaller than the sum of its proper divisors (45052809120).

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

13345469280 is a wasteful number, since it uses less digits than its factorization.

13345469280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 13345469280 in words is "thirteen billion, three hundred forty-five million, four hundred sixty-nine thousand, two hundred eighty".