504911090331648 has 8320 divisors, whose sum is σ = 2301787901952000. Its totient is φ = 108154729267200.

The previous prime is 504911090331611. The next prime is 504911090331649. The reversal of 504911090331648 is 846133090119405.

504911090331648 is a `hidden beast` number, since 5 + 0 + 491 + 1 + 0 + 90 + 3 + 3 + 1 + 64 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 504911090331594 and 504911090331603.

It is not an unprimeable number, because it can be changed into a prime (504911090331649) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 7111423807453 + ... + 7111423807523.

Almost surely, 2^{504911090331648} 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 504911090331648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150893950976000).

504911090331648 is an abundant number, since it is smaller than the sum of its proper divisors (1796876811620352).

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

504911090331648 is a wasteful number, since it uses less digits than its factorization.

504911090331648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 504911090331648 in words is "five hundred four trillion, nine hundred eleven billion, ninety million, three hundred thirty-one thousand, six hundred forty-eight".