2450033648496 has 720 divisors, whose sum is σ = 8374894347456. Its totient is φ = 666086400000.

The previous prime is 2450033648479. The next prime is 2450033648509. The reversal of 2450033648496 is 6948463300542.

2450033648496 is a `hidden beast` number, since 2 + 4 + 500 + 3 + 3 + 6 + 48 + 4 + 96 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2074541026 + ... + 2074542206.

Almost surely, 2^{2450033648496} 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 2450033648496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4187447173728).

2450033648496 is an abundant number, since it is smaller than the sum of its proper divisors (5924860698960).

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

2450033648496 is a wasteful number, since it uses less digits than its factorization.

2450033648496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 2450033648496 in words is "two trillion, four hundred fifty billion, thirty-three million, six hundred forty-eight thousand, four hundred ninety-six".