1151563648 has 64 divisors (see below), whose sum is σ = 2351916000. Its totient is φ = 561420288.

The previous prime is 1151563579. The next prime is 1151563657. The reversal of 1151563648 is 8463651511.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 1151563648.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1349590 + ... + 1350442.

Almost surely, 2^1151563648 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 1151563648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175958000).

1151563648 is an abundant number, since it is smaller than the sum of its proper divisors (1200352352).

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

1151563648 is an equidigital number, since it uses as much as digits as its factorization.

1151563648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1107 counting only the distinct ones).

The product of its digits is 86400, while the sum is 40.

The square root of 1151563648 is about 33934.6968160908. The cubic root of 1151563648 is about 1048.1641838219.

The spelling of 1151563648 in words is "one billion, one hundred fifty-one million, five hundred sixty-three thousand, six hundred forty-eight".