11964015648 has 216 divisors, whose sum is σ = 36992641140. Its totient is φ = 3666124800.

The previous prime is 11964015629. The next prime is 11964015649. The reversal of 11964015648 is 84651046911.

11964015648 is a `hidden beast` number, since 1 + 196 + 401 + 56 + 4 + 8 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6466089744 + 5497925904 = 80412^2 + 74148^2 .

It is a super-3 number, since 3×11964015648³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11964015649) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19906548 + ... + 19907148.

Almost surely, 2^11964015648 is an apocalyptic number.

11964015648 is a gapful number since it is divisible by the number (18) 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 11964015648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18496320570).

11964015648 is an abundant number, since it is smaller than the sum of its proper divisors (25028625492).

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

11964015648 is a wasteful number, since it uses less digits than its factorization.

11964015648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 11964015648 in words is "eleven billion, nine hundred sixty-four million, fifteen thousand, six hundred forty-eight".