11649647532964 has 81 divisors (see below), whose sum is σ = 25194191567139. Its totient is φ = 4698689829120.

The previous prime is 11649647532923. The next prime is 11649647532967. The reversal of 11649647532964 is 46923574694611.

The square root of 11649647532964 is 3413158.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1445405062500 + 10204242470464 = 1202250^2 + 3194408^2 .

It is a super-2 number, since 2×11649647532964² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11649647532964.

It is not an unprimeable number, because it can be changed into a prime (11649647532967) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 812324434 + ... + 812338774.

Almost surely, 2^{11649647532964} is an apocalyptic number.

11649647532964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11649647532964 is the 3413158-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11649647532964

11649647532964 is an abundant number, since it is smaller than the sum of its proper divisors (13544544034175).

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

11649647532964 is an frugal number, since it uses more digits than its factorization.

11649647532964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28734 (or 14367 counting only the distinct ones).

The product of its digits is 235146240, while the sum is 67.

The spelling of 11649647532964 in words is "eleven trillion, six hundred forty-nine billion, six hundred forty-seven million, five hundred thirty-two thousand, nine hundred sixty-four".