11357283567 has 16 divisors (see below), whose sum is σ = 17474362880. Its totient is φ = 6426866592.

The previous prime is 11357283547. The next prime is 11357283569. The reversal of 11357283567 is 76538275311.

It is not a de Polignac number, because 11357283567 - 2¹¹ = 11357281519 is a prime.

It is a super-3 number, since 3×11357283567³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11357283569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2623192 + ... + 2627517.

It is an arithmetic number, because the mean of its divisors is an integer number (1092147680).

Almost surely, 2^11357283567 is an apocalyptic number.

11357283567 is a deficient number, since it is larger than the sum of its proper divisors (6117079313).

11357283567 is a wasteful number, since it uses less digits than its factorization.

11357283567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5250822.

The product of its digits is 1058400, while the sum is 48.

It can be divided in two parts, 1135728 and 3567, that added together give a triangular number (1139295 = T₁₅₀₉).

The spelling of 11357283567 in words is "eleven billion, three hundred fifty-seven million, two hundred eighty-three thousand, five hundred sixty-seven".