4933465600896 has 192 divisors, whose sum is σ = 16270612881120. Its totient is φ = 1405567696896.

The previous prime is 4933465600867. The next prime is 4933465600939. The reversal of 4933465600896 is 6980065643394.

It is a happy number.

4933465600896 is a `hidden beast` number, since 4 + 9 + 33 + 465 + 60 + 0 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1980036 + ... + 3713148.

Almost surely, 2^{4933465600896} 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 4933465600896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8135306440560).

4933465600896 is an abundant number, since it is smaller than the sum of its proper divisors (11337147280224).

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

4933465600896 is a wasteful number, since it uses less digits than its factorization.

4933465600896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733493 (or 1733478 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 4933465600896 in words is "four trillion, nine hundred thirty-three billion, four hundred sixty-five million, six hundred thousand, eight hundred ninety-six".