4652572450968 has 256 divisors, whose sum is σ = 14401719360000. Its totient is φ = 1381828170240.

The previous prime is 4652572450901. The next prime is 4652572450969. The reversal of 4652572450968 is 8690542752564.

4652572450968 is a `hidden beast` number, since 4 + 6 + 5 + 2 + 572 + 4 + 50 + 9 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4652572450969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 544857243 + ... + 544865781.

It is an arithmetic number, because the mean of its divisors is an integer number (56256716250).

Almost surely, 2^{4652572450968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4652572450968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7200859680000).

4652572450968 is an abundant number, since it is smaller than the sum of its proper divisors (9749146909032).

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

4652572450968 is a wasteful number, since it uses less digits than its factorization.

4652572450968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15287 (or 15277 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 4652572450968 in words is "four trillion, six hundred fifty-two billion, five hundred seventy-two million, four hundred fifty thousand, nine hundred sixty-eight".