4525222313664 has 1568 divisors, whose sum is σ = 16118955417600. Its totient is φ = 1247215656960.

The previous prime is 4525222313629. The next prime is 4525222313693. The reversal of 4525222313664 is 4663132225254.

4525222313664 is a `hidden beast` number, since 4 + 5 + 2 + 52 + 2 + 231 + 366 + 4 = 666.

It is a super-2 number, since 2×4525222313664² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (2073600) is a multiple of the sum of its prime divisors (360).

It is an unprimeable number.

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 223 ways as a sum of consecutive naturals, for example, 18933984457 + ... + 18933984695.

Almost surely, 2^{4525222313664} 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 4525222313664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8059477708800).

4525222313664 is an abundant number, since it is smaller than the sum of its proper divisors (11593733103936).

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

4525222313664 is a wasteful number, since it uses less digits than its factorization.

4525222313664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 360 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 45.

The spelling of 4525222313664 in words is "four trillion, five hundred twenty-five billion, two hundred twenty-two million, three hundred thirteen thousand, six hundred sixty-four".