4656050284032 has 400 divisors, whose sum is σ = 16206561597600. Its totient is φ = 1330296016896.

The previous prime is 4656050284003. The next prime is 4656050284037. The reversal of 4656050284032 is 2304820506564.

4656050284032 is a `hidden beast` number, since 4 + 6 + 5 + 60 + 502 + 84 + 0 + 3 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4656050284037) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14061238 + ... + 14388554.

It is an arithmetic number, because the mean of its divisors is an integer number (40516403994).

Almost surely, 2^{4656050284032} is an apocalyptic number.

4656050284032 is a gapful number since it is divisible by the number (42) 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 4656050284032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8103280798800).

4656050284032 is an abundant number, since it is smaller than the sum of its proper divisors (11550511313568).

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

4656050284032 is an frugal number, since it uses more digits than its factorization.

4656050284032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327368 (or 327329 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 4656050284032 in words is "four trillion, six hundred fifty-six billion, fifty million, two hundred eighty-four thousand, thirty-two".