33461224416 has 288 divisors, whose sum is σ = 102758842368. Its totient is φ = 10699153920.

The previous prime is 33461224411. The next prime is 33461224439. The reversal of 33461224416 is 61442216433.

33461224416 is a `hidden beast` number, since 3 + 3 + 4 + 612 + 24 + 4 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×33461224416² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33461224411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30613566 + ... + 30614658.

It is an arithmetic number, because the mean of its divisors is an integer number (356801536).

Almost surely, 2^33461224416 is an apocalyptic number.

33461224416 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 33461224416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51379421184).

33461224416 is an abundant number, since it is smaller than the sum of its proper divisors (69297617952).

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

33461224416 is a wasteful number, since it uses less digits than its factorization.

33461224416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1256 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 33461224416 in words is "thirty-three billion, four hundred sixty-one million, two hundred twenty-four thousand, four hundred sixteen".