33542126336 has 72 divisors (see below), whose sum is σ = 68367630240. Its totient is φ = 16420478976.

The previous prime is 33542126333. The next prime is 33542126341. The reversal of 33542126336 is 63362124533.

It is a super-2 number, since 2×33542126336² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33542126336.

It is not an unprimeable number, because it can be changed into a prime (33542126333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2339606 + ... + 2353898.

It is an arithmetic number, because the mean of its divisors is an integer number (949550420).

Almost surely, 2^33542126336 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 33542126336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34183815120).

33542126336 is an abundant number, since it is smaller than the sum of its proper divisors (34825503904).

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

33542126336 is a wasteful number, since it uses less digits than its factorization.

33542126336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14501 (or 14487 counting only the distinct ones).

The product of its digits is 233280, while the sum is 38.

The spelling of 33542126336 in words is "thirty-three billion, five hundred forty-two million, one hundred twenty-six thousand, three hundred thirty-six".