501258145852464 has 1280 divisors, whose sum is σ = 1923365152751616. Its totient is φ = 108241223270400.

The previous prime is 501258145852339. The next prime is 501258145852483. The reversal of 501258145852464 is 464258541852105.

It is a junction number, because it is equal to n+sod(n) for n = 501258145852398 and 501258145852407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1267356562 + ... + 1267752014.

Almost surely, 2^{501258145852464} 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 501258145852464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961682576375808).

501258145852464 is an abundant number, since it is smaller than the sum of its proper divisors (1422107006899152).

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

501258145852464 is a wasteful number, since it uses less digits than its factorization.

501258145852464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395586 (or 395580 counting only the distinct ones).

The product of its (nonzero) digits is 61440000, while the sum is 60.

The spelling of 501258145852464 in words is "five hundred one trillion, two hundred fifty-eight billion, one hundred forty-five million, eight hundred fifty-two thousand, four hundred sixty-four".