1345561008 has 80 divisors (see below), whose sum is σ = 3797245056. Its totient is φ = 407185920.

The previous prime is 1345561003. The next prime is 1345561013. The reversal of 1345561008 is 8001655431.

It is an interprime number because it is at equal distance from previous prime (1345561003) and next prime (1345561013).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 1345561008.

It is not an unprimeable number, because it can be changed into a prime (1345561003) 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, 544191 + ... + 546657.

Almost surely, 2^1345561008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345561008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898622528).

1345561008 is an abundant number, since it is smaller than the sum of its proper divisors (2451684048).

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

1345561008 is a wasteful number, since it uses less digits than its factorization.

1345561008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3522 (or 3516 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 1345561008 is about 36681.8893733679. The cubic root of 1345561008 is about 1103.9967574994.

The spelling of 1345561008 in words is "one billion, three hundred forty-five million, five hundred sixty-one thousand, eight".