4600484865600 has 2688 divisors, whose sum is σ = 19302764544000. Its totient is φ = 945959731200.

The previous prime is 4600484865533. The next prime is 4600484865653. The reversal of 4600484865600 is 65684840064.

It is a super-2 number, since 2×4600484865600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 23118014301 + ... + 23118014499.

It is an arithmetic number, because the mean of its divisors is an integer number (7181088000).

Almost surely, 2^{4600484865600} is an apocalyptic number.

4600484865600 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 4600484865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9651382272000).

4600484865600 is an abundant number, since it is smaller than the sum of its proper divisors (14702279678400).

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

4600484865600 is a wasteful number, since it uses less digits than its factorization.

4600484865600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 51.

The spelling of 4600484865600 in words is "four trillion, six hundred billion, four hundred eighty-four million, eight hundred sixty-five thousand, six hundred".