4506022508724 has 288 divisors, whose sum is σ = 13286574467712. Its totient is φ = 1283084774400.

The previous prime is 4506022508693. The next prime is 4506022508777. The reversal of 4506022508724 is 4278052206054.

4506022508724 is a `hidden beast` number, since 4 + 50 + 6 + 0 + 22 + 508 + 72 + 4 = 666.

It is a super-2 number, since 2×4506022508724² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4506022508724.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 551461159 + ... + 551469329.

It is an arithmetic number, because the mean of its divisors is an integer number (46133939124).

Almost surely, 2^{4506022508724} is an apocalyptic number.

4506022508724 is a gapful number since it is divisible by the number (44) 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 4506022508724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6643287233856).

4506022508724 is an abundant number, since it is smaller than the sum of its proper divisors (8780551958988).

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

4506022508724 is a wasteful number, since it uses less digits than its factorization.

4506022508724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8908 (or 8881 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 4506022508724 in words is "four trillion, five hundred six billion, twenty-two million, five hundred eight thousand, seven hundred twenty-four".