11006132461140 has 24 divisors (see below), whose sum is σ = 30817170891360. Its totient is φ = 2934968656288.

The previous prime is 11006132461111. The next prime is 11006132461157. The reversal of 11006132461140 is 4116423160011.

It is a super-2 number, since 2×11006132461140² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11006132461098 and 11006132461107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91717770450 + ... + 91717770569.

It is an arithmetic number, because the mean of its divisors is an integer number (1284048787140).

Almost surely, 2^{11006132461140} is an apocalyptic number.

11006132461140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11006132461140 is an abundant number, since it is smaller than the sum of its proper divisors (19811038430220).

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

11006132461140 is a wasteful number, since it uses less digits than its factorization.

11006132461140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183435541031 (or 183435541029 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 11006132461140 in words is "eleven trillion, six billion, one hundred thirty-two million, four hundred sixty-one thousand, one hundred forty".