11651968596004 has 81 divisors (see below), whose sum is σ = 23811773541969. Its totient is φ = 4984253239680.

The previous prime is 11651968595999. The next prime is 11651968596017. The reversal of 11651968596004 is 40069586915611.

The square root of 11651968596004 is 3413498.

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

It can be written as a sum of positive squares in only one way, i.e., 9071601848100 + 2580366747904 = 3011910^2 + 1606352^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1276643689 + ... + 1276652815.

Almost surely, 2^{11651968596004} is an apocalyptic number.

11651968596004 is the 3413498-th square number.

It is an amenable number.

11651968596004 is an abundant number, since it is smaller than the sum of its proper divisors (12159804945965).

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

11651968596004 is an frugal number, since it uses more digits than its factorization.

11651968596004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18314 (or 9157 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 61.

The spelling of 11651968596004 in words is "eleven trillion, six hundred fifty-one billion, nine hundred sixty-eight million, five hundred ninety-six thousand, four".