13045654160 has 240 divisors, whose sum is σ = 38900010240. Its totient is φ = 4022968320.

The previous prime is 13045654133. The next prime is 13045654169. The reversal of 13045654160 is 6145654031.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 13045654160.

It is not an unprimeable number, because it can be changed into a prime (13045654169) 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 47 ways as a sum of consecutive naturals, for example, 4181081 + ... + 4184199.

It is an arithmetic number, because the mean of its divisors is an integer number (162083376).

Almost surely, 2^13045654160 is an apocalyptic number.

13045654160 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 13045654160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19450005120).

13045654160 is an abundant number, since it is smaller than the sum of its proper divisors (25854356080).

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

13045654160 is a wasteful number, since it uses less digits than its factorization.

13045654160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3254 (or 3241 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 13045654160 in words is "thirteen billion, forty-five million, six hundred fifty-four thousand, one hundred sixty".