13546045440 has 360 divisors, whose sum is σ = 49480791360. Its totient is φ = 3418619904.

The previous prime is 13546045433. The next prime is 13546045453. The reversal of 13546045440 is 4454064531.

13546045440 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 604 + 5 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 13546045395 and 13546045404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14007837 + ... + 14008803.

Almost surely, 2^13546045440 is an apocalyptic number.

13546045440 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 13546045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24740395680).

13546045440 is an abundant number, since it is smaller than the sum of its proper divisors (35934745920).

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

13546045440 is an equidigital number, since it uses as much as digits as its factorization.

13546045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 13546045440 in words is "thirteen billion, five hundred forty-six million, forty-five thousand, four hundred forty".