504454054425552 has 1440 divisors, whose sum is σ = 1882271466915840. Its totient is φ = 123201507686400.

The previous prime is 504454054425551. The next prime is 504454054425589. The reversal of 504454054425552 is 255524450454405.

504454054425552 is a `hidden beast` number, since 5 + 0 + 4 + 4 + 5 + 40 + 5 + 4 + 42 + 5 + 552 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504454054425551) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 39321379074 + ... + 39321391902.

It is an arithmetic number, because the mean of its divisors is an integer number (1307132963136).

Almost surely, 2^{504454054425552} 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 504454054425552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941135733457920).

504454054425552 is an abundant number, since it is smaller than the sum of its proper divisors (1377817412490288).

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

504454054425552 is a wasteful number, since it uses less digits than its factorization.

504454054425552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13133 (or 13113 counting only the distinct ones).

The product of its (nonzero) digits is 64000000, while the sum is 54.

The spelling of 504454054425552 in words is "five hundred four trillion, four hundred fifty-four billion, fifty-four million, four hundred twenty-five thousand, five hundred fifty-two".