4648817452800 has 216 divisors, whose sum is σ = 15346456652800. Its totient is φ = 1239329894400.

The previous prime is 4648817452787. The next prime is 4648817452831. The reversal of 4648817452800 is 82547188464.

It is a super-2 number, since 2×4648817452800² (a number of 26 digits) contains 22 as substring.

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, 70834401 + ... + 70899999.

Almost surely, 2^{4648817452800} is an apocalyptic number.

4648817452800 is a gapful number since it is divisible by the number (40) 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 4648817452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7673228326400).

4648817452800 is an abundant number, since it is smaller than the sum of its proper divisors (10697639200000).

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

4648817452800 is a wasteful number, since it uses less digits than its factorization.

4648817452800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69319 (or 69300 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 57.

The spelling of 4648817452800 in words is "four trillion, six hundred forty-eight billion, eight hundred seventeen million, four hundred fifty-two thousand, eight hundred".