21173733737112 has 256 divisors, whose sum is σ = 59668825582080. Its totient is φ = 6204918988800.

The previous prime is 21173733736997. The next prime is 21173733737119.

21173733737112 is nontrivially palindromic in base 10.

21173733737112 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21173733737112² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21173733737119) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1172336562 + ... + 1172354622.

It is an arithmetic number, because the mean of its divisors is an integer number (233081349930).

Almost surely, 2^{21173733737112} is an apocalyptic number.

21173733737112 is a gapful number since it is divisible by the number (22) 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 21173733737112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29834412791040).

21173733737112 is an abundant number, since it is smaller than the sum of its proper divisors (38495091844968).

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

21173733737112 is a wasteful number, since it uses less digits than its factorization.

21173733737112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18842 (or 18838 counting only the distinct ones).

The product of its digits is 777924, while the sum is 48.

The spelling of 21173733737112 in words is "twenty-one trillion, one hundred seventy-three billion, seven hundred thirty-three million, seven hundred thirty-seven thousand, one hundred twelve".