1633284796416 has 1248 divisors, whose sum is σ = 5783004315648. Its totient is φ = 405775319040.

The previous prime is 1633284796411. The next prime is 1633284796487. The reversal of 1633284796416 is 6146974823361.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-3 number, since 3×1633284796416³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1633284796416.

It is not an unprimeable number, because it can be changed into a prime (1633284796411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12860510145 + ... + 12860510271.

Almost surely, 2^{1633284796416} is an apocalyptic number.

1633284796416 is a gapful number since it is divisible by the number (16) 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 1633284796416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2891502157824).

1633284796416 is an abundant number, since it is smaller than the sum of its proper divisors (4149719519232).

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

1633284796416 is a wasteful number, since it uses less digits than its factorization.

1633284796416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 236 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 60.

The spelling of 1633284796416 in words is "one trillion, six hundred thirty-three billion, two hundred eighty-four million, seven hundred ninety-six thousand, four hundred sixteen".