33478054945920 has 2304 divisors, whose sum is σ = 141945844884480. Its totient is φ = 7502702837760.

The previous prime is 33478054945901. The next prime is 33478054945957. The reversal of 33478054945920 is 2954945087433.

33478054945920 is a `hidden beast` number, since 3 + 3 + 4 + 7 + 80 + 549 + 4 + 5 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×33478054945920² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13851076552 + ... + 13851078968.

It is an arithmetic number, because the mean of its divisors is an integer number (61608439620).

Almost surely, 2^{33478054945920} is an apocalyptic number.

33478054945920 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 33478054945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70972922442240).

33478054945920 is an abundant number, since it is smaller than the sum of its proper divisors (108467789938560).

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

33478054945920 is a wasteful number, since it uses less digits than its factorization.

33478054945920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 33478054945920 in words is "thirty-three trillion, four hundred seventy-eight billion, fifty-four million, nine hundred forty-five thousand, nine hundred twenty".