2033631484416 has 800 divisors, whose sum is σ = 7358723083008. Its totient is φ = 546554511360.

The previous prime is 2033631484363. The next prime is 2033631484471. The reversal of 2033631484416 is 6144841363302.

2033631484416 is a `hidden beast` number, since 2 + 0 + 3 + 3 + 63 + 148 + 441 + 6 = 666.

It is a super-2 number, since 2×2033631484416² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 407294016 + ... + 407299008.

Almost surely, 2^{2033631484416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2033631484416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3679361541504).

2033631484416 is an abundant number, since it is smaller than the sum of its proper divisors (5325091598592).

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

2033631484416 is an equidigital number, since it uses as much as digits as its factorization.

2033631484416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5114 (or 5089 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 2033631484416 in words is "two trillion, thirty-three billion, six hundred thirty-one million, four hundred eighty-four thousand, four hundred sixteen".