11461691502144 has 315 divisors, whose sum is σ = 36800802179427. Its totient is φ = 3525699280896.

The previous prime is 11461691502089. The next prime is 11461691502167. The reversal of 11461691502144 is 44120519616411.

The square root of 11461691502144 is 3385512.

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

11461691502144 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 16 + 91 + 502 + 1 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9153722862144 + 2307968640000 = 3025512^2 + 1519200^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11461691502144.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3168837424 + ... + 3168841040.

Almost surely, 2^{11461691502144} is an apocalyptic number.

11461691502144 is the 3385512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11461691502144

11461691502144 is an abundant number, since it is smaller than the sum of its proper divisors (25339110677283).

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

11461691502144 is an frugal number, since it uses more digits than its factorization.

11461691502144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7284 (or 3635 counting only the distinct ones).

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

The spelling of 11461691502144 in words is "eleven trillion, four hundred sixty-one billion, six hundred ninety-one million, five hundred two thousand, one hundred forty-four".