33426661631136 has 192 divisors, whose sum is σ = 93057318789120. Its totient is φ = 10487548154880.

The previous prime is 33426661631119. The next prime is 33426661631159. The reversal of 33426661631136 is 63113616662433.

It is a happy number.

It is a super-2 number, since 2×33426661631136² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310351885 + ... + 310459571.

It is an arithmetic number, because the mean of its divisors is an integer number (484673535360).

Almost surely, 2^{33426661631136} 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 33426661631136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46528659394560).

33426661631136 is an abundant number, since it is smaller than the sum of its proper divisors (59630657157984).

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

33426661631136 is a wasteful number, since it uses less digits than its factorization.

33426661631136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110587 (or 110579 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 51.

The spelling of 33426661631136 in words is "thirty-three trillion, four hundred twenty-six billion, six hundred sixty-one million, six hundred thirty-one thousand, one hundred thirty-six".