13645466640 has 120 divisors (see below), whose sum is σ = 49351138200. Its totient is φ = 3358881792.

The previous prime is 13645466629. The next prime is 13645466647. The reversal of 13645466640 is 4666454631.

It can be written as a sum of positive squares in 4 ways, for example, as 777740544 + 12867726096 = 27888^2 + 113436^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 (13645466647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 719565 + ... + 738284.

It is an arithmetic number, because the mean of its divisors is an integer number (411259485).

Almost surely, 2^13645466640 is an apocalyptic number.

13645466640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13645466640 is an abundant number, since it is smaller than the sum of its proper divisors (35705671560).

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

13645466640 is a wasteful number, since it uses less digits than its factorization.

13645466640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457881 (or 1457872 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 13645466640 in words is "thirteen billion, six hundred forty-five million, four hundred sixty-six thousand, six hundred forty".