13456561104 has 300 divisors, whose sum is σ = 45517799844. Its totient is φ = 3826787328.

The previous prime is 13456561103. The next prime is 13456561141. The reversal of 13456561104 is 40116565431.

13456561104 is a `hidden beast` number, since 1 + 34 + 5 + 6 + 5 + 611 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6748951104 + 6707610000 = 82152^2 + 81900^2 .

It is a super-3 number, since 3×13456561104³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13456561103) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19876414 + ... + 19877090.

Almost surely, 2^13456561104 is an apocalyptic number.

13456561104 is a gapful number since it is divisible by the number (14) 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 13456561104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22758899922).

13456561104 is an abundant number, since it is smaller than the sum of its proper divisors (32061238740).

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

13456561104 is a wasteful number, since it uses less digits than its factorization.

13456561104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 13456561104 in words is "thirteen billion, four hundred fifty-six million, five hundred sixty-one thousand, one hundred four".