33726123816 has 128 divisors (see below), whose sum is σ = 105989852160. Its totient is φ = 8759974080.

The previous prime is 33726123799. The next prime is 33726123817. The reversal of 33726123816 is 61832162733.

It is a super-2 number, since 2×33726123816² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (33726123817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148195 + ... + 299021.

It is an arithmetic number, because the mean of its divisors is an integer number (828045720).

Almost surely, 2^33726123816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33726123816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52994926080).

33726123816 is an abundant number, since it is smaller than the sum of its proper divisors (72263728344).

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

33726123816 is a wasteful number, since it uses less digits than its factorization.

33726123816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150876 (or 150850 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The spelling of 33726123816 in words is "thirty-three billion, seven hundred twenty-six million, one hundred twenty-three thousand, eight hundred sixteen".