4652231284800 has 1344 divisors, whose sum is σ = 18803505070080. Its totient is φ = 1109541888000.

The previous prime is 4652231284783. The next prime is 4652231284801. The reversal of 4652231284800 is 84821322564.

4652231284800 is a `hidden beast` number, since 4 + 65 + 2 + 231 + 284 + 80 + 0 = 666.

It is a super-2 number, since 2×4652231284800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4652231284801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9475012555 + ... + 9475013045.

Almost surely, 2^{4652231284800} is an apocalyptic number.

4652231284800 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 4652231284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9401752535040).

4652231284800 is an abundant number, since it is smaller than the sum of its proper divisors (14151273785280).

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

4652231284800 is a wasteful number, since it uses less digits than its factorization.

4652231284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 4652231284800 in words is "four trillion, six hundred fifty-two billion, two hundred thirty-one million, two hundred eighty-four thousand, eight hundred".