11233892166432 has 192 divisors, whose sum is σ = 33150124385280. Its totient is φ = 3307493376000.

The previous prime is 11233892166421. The next prime is 11233892166449. The reversal of 11233892166432 is 23466129833211.

It is a super-2 number, since 2×11233892166432² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1811932 + ... + 5074532.

It is an arithmetic number, because the mean of its divisors is an integer number (172656897840).

Almost surely, 2^{11233892166432} is an apocalyptic number.

11233892166432 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 11233892166432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16575062192640).

11233892166432 is an abundant number, since it is smaller than the sum of its proper divisors (21916232218848).

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

11233892166432 is a wasteful number, since it uses less digits than its factorization.

11233892166432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3262747 (or 3262739 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 51.

The spelling of 11233892166432 in words is "eleven trillion, two hundred thirty-three billion, eight hundred ninety-two million, one hundred sixty-six thousand, four hundred thirty-two".