11500672661334 has 48 divisors (see below), whose sum is σ = 25023688918800. Its totient is φ = 3817335791808.

The previous prime is 11500672661327. The next prime is 11500672661341. The reversal of 11500672661334 is 43316627600511.

11500672661334 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 0 + 6 + 7 + 26 + 613 + 3 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (11500672661327) and next prime (11500672661341).

It is a self number, because there is not a number n which added to its sum of digits gives 11500672661334.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 6489372 + ... + 8069280.

It is an arithmetic number, because the mean of its divisors is an integer number (521326852475).

Almost surely, 2^{11500672661334} is an apocalyptic number.

11500672661334 is an abundant number, since it is smaller than the sum of its proper divisors (13523016257466).

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

11500672661334 is a wasteful number, since it uses less digits than its factorization.

11500672661334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581629 (or 1581626 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 11500672661334 in words is "eleven trillion, five hundred billion, six hundred seventy-two million, six hundred sixty-one thousand, three hundred thirty-four".