501341690304 has 336 divisors, whose sum is σ = 1834131772928. Its totient is φ = 132221611008.

The previous prime is 501341690303. The next prime is 501341690309. The reversal of 501341690304 is 403096143105.

501341690304 is a `hidden beast` number, since 5 + 0 + 1 + 341 + 6 + 9 + 0 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×501341690304² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501341690303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1238109 + ... + 1592355.

Almost surely, 2^501341690304 is an apocalyptic number.

501341690304 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501341690304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917065886464).

501341690304 is an abundant number, since it is smaller than the sum of its proper divisors (1332790082624).

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

501341690304 is a wasteful number, since it uses less digits than its factorization.

501341690304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354294 (or 354272 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 501341690304 in words is "five hundred one billion, three hundred forty-one million, six hundred ninety thousand, three hundred four".