11787338304135 has 48 divisors (see below), whose sum is σ = 21320876588544. Its totient is φ = 6012921114816.

The previous prime is 11787338304031. The next prime is 11787338304149. The reversal of 11787338304135 is 53140383378711.

11787338304135 is a `hidden beast` number, since 1 + 178 + 7 + 3 + 38 + 304 + 135 = 666.

It is not a de Polignac number, because 11787338304135 - 2⁴¹ = 9588315048583 is a prime.

It is a super-2 number, since 2×11787338304135² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19158262 + ... + 19763948.

It is an arithmetic number, because the mean of its divisors is an integer number (444184928928).

Almost surely, 2^{11787338304135} is an apocalyptic number.

11787338304135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11787338304135 is a deficient number, since it is larger than the sum of its proper divisors (9533538284409).

11787338304135 is a wasteful number, since it uses less digits than its factorization.

11787338304135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624524 (or 624521 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 11787338304135 in words is "eleven trillion, seven hundred eighty-seven billion, three hundred thirty-eight million, three hundred four thousand, one hundred thirty-five".