13465932480 has 1344 divisors, whose sum is σ = 64864171008. Its totient is φ = 2567946240.

The previous prime is 13465932461. The next prime is 13465932481. The reversal of 13465932480 is 8423956431.

13465932480 is a `hidden beast` number, since 1 + 3 + 465 + 93 + 24 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is not an unprimeable number, because it can be changed into a prime (13465932481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 77837674 + ... + 77837846.

It is an arithmetic number, because the mean of its divisors is an integer number (48262032).

Almost surely, 2^13465932480 is an apocalyptic number.

13465932480 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 13465932480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32432085504).

13465932480 is an abundant number, since it is smaller than the sum of its proper divisors (51398238528).

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

13465932480 is a wasteful number, since it uses less digits than its factorization.

13465932480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 214 counting only the distinct ones).

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

The spelling of 13465932480 in words is "thirteen billion, four hundred sixty-five million, nine hundred thirty-two thousand, four hundred eighty".