504153455616 has 440 divisors, whose sum is σ = 1553651383680. Its totient is φ = 162763776000.

The previous prime is 504153455587. The next prime is 504153455629. The reversal of 504153455616 is 616554351405.

504153455616 is a `hidden beast` number, since 5 + 0 + 4 + 1 + 534 + 55 + 61 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 347451691 + ... + 347453141.

It is an arithmetic number, because the mean of its divisors is an integer number (3531025872).

Almost surely, 2^504153455616 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 504153455616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776825691840).

504153455616 is an abundant number, since it is smaller than the sum of its proper divisors (1049497928064).

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

504153455616 is a wasteful number, since it uses less digits than its factorization.

504153455616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 504153455616 in words is "five hundred four billion, one hundred fifty-three million, four hundred fifty-five thousand, six hundred sixteen".