13645456 has 80 divisors (see below), whose sum is σ = 30998016. Its totient is φ = 5760000.

The previous prime is 13645453. The next prime is 13645469. The reversal of 13645456 is 65454631.

It is not an unprimeable number, because it can be changed into a prime (13645451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223666 + ... + 223726.

Almost surely, 2^13645456 is an apocalyptic number.

13645456 is a gapful number since it is divisible by the number (16) 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 13645456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15499008).

13645456 is an abundant number, since it is smaller than the sum of its proper divisors (17352560).

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

13645456 is a wasteful number, since it uses less digits than its factorization.

13645456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 146 counting only the distinct ones).

The product of its digits is 43200, while the sum is 34.

The square root of 13645456 is about 3693.9756360864. The cubic root of 13645456 is about 238.9622787874.

It can be divided in two parts, 1364 and 5456, that multiplied together give a square (7441984 = 2728²).

The spelling of 13645456 in words is "thirteen million, six hundred forty-five thousand, four hundred fifty-six".