11291407164288 has 160 divisors (see below), whose sum is σ = 33605216734320. Its totient is φ = 3763559116800.

The previous prime is 11291407164263. The next prime is 11291407164337. The reversal of 11291407164288 is 88246170419211.

It is a happy number.

11291407164288 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 140 + 71 + 6 + 428 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 238035933 + ... + 238083363.

Almost surely, 2^{11291407164288} is an apocalyptic number.

11291407164288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11291407164288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16802608367160).

11291407164288 is an abundant number, since it is smaller than the sum of its proper divisors (22313809570032).

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

11291407164288 is an equidigital number, since it uses as much as digits as its factorization.

11291407164288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70418 (or 70397 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 11291407164288 in words is "eleven trillion, two hundred ninety-one billion, four hundred seven million, one hundred sixty-four thousand, two hundred eighty-eight".