13166222224500 has 144 divisors (see below), whose sum is σ = 41540610488832. Its totient is φ = 3510521918400.

The previous prime is 13166222224469. The next prime is 13166222224517. The reversal of 13166222224500 is 542222266131.

13166222224500 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 622 + 2 + 2 + 24 + 5 + 0 + 0 = 666.

It is a super-3 number, since 3×13166222224500³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34039189 + ... + 34423811.

It is an arithmetic number, because the mean of its divisors is an integer number (288476461728).

Almost surely, 2^{13166222224500} is an apocalyptic number.

13166222224500 is a gapful number since it is divisible by the number (10) 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 13166222224500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20770305244416).

13166222224500 is an abundant number, since it is smaller than the sum of its proper divisors (28374388264332).

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

13166222224500 is a wasteful number, since it uses less digits than its factorization.

13166222224500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392255 (or 392240 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 13166222224500 in words is "thirteen trillion, one hundred sixty-six billion, two hundred twenty-two million, two hundred twenty-four thousand, five hundred".