33381540180 has 120 divisors (see below), whose sum is σ = 105646425192. Its totient is φ = 8822919168.

The previous prime is 33381540121. The next prime is 33381540209. The reversal of 33381540180 is 8104518333.

33381540180 is a `hidden beast` number, since 3 + 3 + 38 + 1 + 540 + 1 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 968578884 + 32412961296 = 31122^2 + 180036^2 .

It is a super-2 number, since 2×33381540180² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 91884 + ... + 274236.

Almost surely, 2^33381540180 is an apocalyptic number.

33381540180 is a gapful number since it is divisible by the number (30) 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 33381540180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52823212596).

33381540180 is an abundant number, since it is smaller than the sum of its proper divisors (72264885012).

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

33381540180 is a wasteful number, since it uses less digits than its factorization.

33381540180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182487 (or 182476 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 33381540180 in words is "thirty-three billion, three hundred eighty-one million, five hundred forty thousand, one hundred eighty".