33604466988096 has 105 divisors (see below), whose sum is σ = 99615404736661. Its totient is φ = 11201349869568.

The previous prime is 33604466988019. The next prime is 33604466988101. The reversal of 33604466988096 is 69088966440633.

The square root of 33604466988096 is 5796936.

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

33604466988096 is a `hidden beast` number, since 3 + 3 + 6 + 0 + 446 + 6 + 98 + 8 + 0 + 96 = 666.

33604466988096 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 187558286400 + 33416908701696 = 433080^2 + 5780736^2 .

It is a super-2 number, since 2×33604466988096² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 417339136 + ... + 417419648.

Almost surely, 2^{33604466988096} is an apocalyptic number.

33604466988096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

33604466988096 is the 5796936-th square number.

It is an amenable number.

33604466988096 is an abundant number, since it is smaller than the sum of its proper divisors (66010937748565).

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

33604466988096 is an frugal number, since it uses more digits than its factorization.

33604466988096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161050 (or 80518 counting only the distinct ones).

The product of its (nonzero) digits is 967458816, while the sum is 72.

The spelling of 33604466988096 in words is "thirty-three trillion, six hundred four billion, four hundred sixty-six million, nine hundred eighty-eight thousand, ninety-six".