501143690368 has 64 divisors (see below), whose sum is σ = 1027255776120. Its totient is φ = 243347742720.

The previous prime is 501143690347. The next prime is 501143690401. The reversal of 501143690368 is 863096341105.

It can be written as a sum of positive squares in 4 ways, for example, as 500912893504 + 230796864 = 707752^2 + 15192^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×501143690368² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2464380 + ... + 2659972.

Almost surely, 2^501143690368 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 501143690368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513627888060).

501143690368 is an abundant number, since it is smaller than the sum of its proper divisors (526112085752).

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

501143690368 is a wasteful number, since it uses less digits than its factorization.

501143690368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196185 (or 196173 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 501143690368 in words is "five hundred one billion, one hundred forty-three million, six hundred ninety thousand, three hundred sixty-eight".