33461839872 has 144 divisors (see below), whose sum is σ = 98231564340. Its totient is φ = 10970726400.

The previous prime is 33461839871. The next prime is 33461839897. The reversal of 33461839872 is 27893816433.

33461839872 is a `hidden beast` number, since 33 + 461 + 83 + 9 + 8 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25980281856 + 7481558016 = 161184^2 + 86496^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×33461839872² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33461839871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1109472 + ... + 1139232.

Almost surely, 2^33461839872 is an apocalyptic number.

33461839872 is a gapful number since it is divisible by the number (32) 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 33461839872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49115782170).

33461839872 is an abundant number, since it is smaller than the sum of its proper divisors (64769724468).

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

33461839872 is a wasteful number, since it uses less digits than its factorization.

33461839872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29850 (or 29827 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 33461839872 in words is "thirty-three billion, four hundred sixty-one million, eight hundred thirty-nine thousand, eight hundred seventy-two".