33432772923664 has 135 divisors (see below), whose sum is σ = 71951787861807. Its totient is φ = 15044952502272.

The previous prime is 33432772923661. The next prime is 33432772923691. The reversal of 33432772923664 is 46632927723433.

It is a happy number.

The square root of 33432772923664 is 5782108.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1148558037264 + 32284214886400 = 1071708^2 + 5681920^2 .

It is a super-3 number, since 3×33432772923664³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33432772923661) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 9043215064 + ... + 9043218760.

Almost surely, 2^{33432772923664} is an apocalyptic number.

33432772923664 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

33432772923664 is the 5782108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33432772923664

33432772923664 is an abundant number, since it is smaller than the sum of its proper divisors (38519014938143).

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

33432772923664 is an frugal number, since it uses more digits than its factorization.

33432772923664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7482 (or 3739 counting only the distinct ones).

The product of its digits is 164602368, while the sum is 61.

The spelling of 33432772923664 in words is "thirty-three trillion, four hundred thirty-two billion, seven hundred seventy-two million, nine hundred twenty-three thousand, six hundred sixty-four".