4456125666264 has 128 divisors (see below), whose sum is σ = 12090889578240. Its totient is φ = 1363118948352.

The previous prime is 4456125666259. The next prime is 4456125666271. The reversal of 4456125666264 is 4626665216544.

It is a super-5 number, since 5×4456125666264⁵ (a number of 64 digits) contains 55555 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 9902787 + ... + 10342989.

It is an arithmetic number, because the mean of its divisors is an integer number (94460074830).

Almost surely, 2^{4456125666264} 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 4456125666264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6045444789120).

4456125666264 is an abundant number, since it is smaller than the sum of its proper divisors (7634763911976).

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

4456125666264 is a wasteful number, since it uses less digits than its factorization.

4456125666264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440849 (or 440845 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 57.

The spelling of 4456125666264 in words is "four trillion, four hundred fifty-six billion, one hundred twenty-five million, six hundred sixty-six thousand, two hundred sixty-four".