33604956493416 has 384 divisors, whose sum is σ = 116313430671360. Its totient is φ = 8511304780800.

The previous prime is 33604956493403. The next prime is 33604956493417. The reversal of 33604956493416 is 61439465940633.

33604956493416 is a `hidden beast` number, since 3 + 3 + 60 + 4 + 9 + 564 + 9 + 3 + 4 + 1 + 6 = 666.

33604956493416 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33604956493416² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (33604956493417) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70375980 + ... + 70851876.

It is an arithmetic number, because the mean of its divisors is an integer number (302899559040).

Almost surely, 2^{33604956493416} is an apocalyptic number.

33604956493416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33604956493416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58156715335680).

33604956493416 is an abundant number, since it is smaller than the sum of its proper divisors (82708474177944).

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

33604956493416 is a wasteful number, since it uses less digits than its factorization.

33604956493416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476245 (or 476238 counting only the distinct ones).

The product of its (nonzero) digits is 151165440, while the sum is 63.

The spelling of 33604956493416 in words is "thirty-three trillion, six hundred four billion, nine hundred fifty-six million, four hundred ninety-three thousand, four hundred sixteen".