523337660352 has 672 divisors, whose sum is σ = 1777613789952. Its totient is φ = 145718673408.

The previous prime is 523337660347. The next prime is 523337660371. The reversal of 523337660352 is 253066733325.

523337660352 is a `hidden beast` number, since 5 + 2 + 3 + 3 + 37 + 6 + 603 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 523337660298 and 523337660307.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 366739063 + ... + 366740489.

It is an arithmetic number, because the mean of its divisors is an integer number (2645258616).

Almost surely, 2^523337660352 is an apocalyptic number.

523337660352 is a gapful number since it is divisible by the number (52) 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 523337660352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888806894976).

523337660352 is an abundant number, since it is smaller than the sum of its proper divisors (1254276129600).

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

523337660352 is a wasteful number, since it uses less digits than its factorization.

523337660352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 45.

The spelling of 523337660352 in words is "five hundred twenty-three billion, three hundred thirty-seven million, six hundred sixty thousand, three hundred fifty-two".