11111094248832 has 640 divisors, whose sum is σ = 34258427945280. Its totient is φ = 3572519731200.

The previous prime is 11111094248803. The next prime is 11111094248887. The reversal of 11111094248832 is 23884249011111.

It is a happy number.

11111094248832 is a `hidden beast` number, since 1 + 1 + 1 + 110 + 9 + 424 + 88 + 32 = 666.

It is a super-3 number, since 3×11111094248832³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19948104298 + ... + 19948104854.

Almost surely, 2^{11111094248832} is an apocalyptic number.

11111094248832 is a gapful number since it is divisible by the number (12) 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 11111094248832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17129213972640).

11111094248832 is an abundant number, since it is smaller than the sum of its proper divisors (23147333696448).

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

11111094248832 is a wasteful number, since it uses less digits than its factorization.

11111094248832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 11111094248832 in words is "eleven trillion, one hundred eleven billion, ninety-four million, two hundred forty-eight thousand, eight hundred thirty-two".