11733072271564 has 24 divisors (see below), whose sum is σ = 24701204783360. Its totient is φ = 4763803779216.

The previous prime is 11733072271499. The next prime is 11733072271607. The reversal of 11733072271564 is 46517227033711.

It is a super-3 number, since 3×11733072271564³ (a number of 40 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 11027323032 + ... + 11027324095.

Almost surely, 2^{11733072271564} is an apocalyptic number.

11733072271564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11733072271564 is an abundant number, since it is smaller than the sum of its proper divisors (12968132511796).

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

11733072271564 is a wasteful number, since it uses less digits than its factorization.

11733072271564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22054647157 (or 22054647155 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 49.

The spelling of 11733072271564 in words is "eleven trillion, seven hundred thirty-three billion, seventy-two million, two hundred seventy-one thousand, five hundred sixty-four".