33541145220 has 96 divisors (see below), whose sum is σ = 102643422336. Its totient is φ = 8116070400.

The previous prime is 33541145201. The next prime is 33541145263. The reversal of 33541145220 is 2254114533.

It is a super-4 number, since 4×33541145220⁴ (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310092 + ... + 404028.

It is an arithmetic number, because the mean of its divisors is an integer number (1069202316).

Almost surely, 2^33541145220 is an apocalyptic number.

33541145220 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 33541145220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51321711168).

33541145220 is an abundant number, since it is smaller than the sum of its proper divisors (69102277116).

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

33541145220 is a wasteful number, since it uses less digits than its factorization.

33541145220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94501 (or 94499 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 33541145220 its reverse (2254114533), we get a palindrome (35795259753).

The spelling of 33541145220 in words is "thirty-three billion, five hundred forty-one million, one hundred forty-five thousand, two hundred twenty".