1536648516 has 96 divisors (see below), whose sum is σ = 4390305920. Its totient is φ = 461801088.

The previous prime is 1536648511. The next prime is 1536648521. The reversal of 1536648516 is 6158466351.

1536648516 is a `hidden beast` number, since 1 + 536 + 64 + 8 + 51 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1536648511) and next prime (1536648521).

It is a super-2 number, since 2×1536648516² = 4722577323450004512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1536648511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47646 + ... + 73098.

Almost surely, 2^1536648516 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 1536648516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195152960).

1536648516 is an abundant number, since it is smaller than the sum of its proper divisors (2853657404).

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

1536648516 is a wasteful number, since it uses less digits than its factorization.

1536648516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25522 (or 25514 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 1536648516 is about 39200.1086222985. The cubic root of 1536648516 is about 1153.9620156763.

The spelling of 1536648516 in words is "one billion, five hundred thirty-six million, six hundred forty-eight thousand, five hundred sixteen".