11133306450765 has 96 divisors (see below), whose sum is σ = 20159100149760. Its totient is φ = 5678267692032.

The previous prime is 11133306450757. The next prime is 11133306450779. The reversal of 11133306450765 is 56705460333111.

11133306450765 is a `hidden beast` number, since 1 + 1 + 133 + 3 + 0 + 6 + 4 + 507 + 6 + 5 = 666.

It is not a de Polignac number, because 11133306450765 - 2³ = 11133306450757 is a prime.

It is a super-2 number, since 2×11133306450765² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 11133306450765.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 829784337 + ... + 829797753.

It is an arithmetic number, because the mean of its divisors is an integer number (209990626560).

Almost surely, 2^{11133306450765} is an apocalyptic number.

11133306450765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11133306450765 is a deficient number, since it is larger than the sum of its proper divisors (9025793698995).

11133306450765 is a wasteful number, since it uses less digits than its factorization.

11133306450765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21971 (or 21968 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

Adding to 11133306450765 its reverse (56705460333111), we get a palindrome (67838766783876).

The spelling of 11133306450765 in words is "eleven trillion, one hundred thirty-three billion, three hundred six million, four hundred fifty thousand, seven hundred sixty-five".