497139000138144 has 960 divisors, whose sum is σ = 1844151447156480. Its totient is φ = 127860969553920.

The previous prime is 497139000138133. The next prime is 497139000138169. The reversal of 497139000138144 is 441831000931794.

497139000138144 is a `hidden beast` number, since 4 + 97 + 139 + 0 + 0 + 0 + 1 + 381 + 44 = 666.

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

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 159 ways as a sum of consecutive naturals, for example, 25714519902 + ... + 25714539234.

It is an arithmetic number, because the mean of its divisors is an integer number (1920991090788).

Almost surely, 2^{497139000138144} 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 497139000138144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922075723578240).

497139000138144 is an abundant number, since it is smaller than the sum of its proper divisors (1347012447018336).

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

497139000138144 is a wasteful number, since it uses less digits than its factorization.

497139000138144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22075 (or 22058 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 497139000138144 in words is "four hundred ninety-seven trillion, one hundred thirty-nine billion, one hundred thirty-eight thousand, one hundred forty-four".