523142944000 has 288 divisors, whose sum is σ = 1339831452960. Its totient is φ = 203415552000.

The previous prime is 523142943949. The next prime is 523142944013. The reversal of 523142944000 is 449241325.

It can be written as a sum of positive squares in 16 ways, for example, as 478598308864 + 44544635136 = 691808^2 + 211056^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489375466 + ... + 489376534.

It is an arithmetic number, because the mean of its divisors is an integer number (4652192545).

Almost surely, 2^523142944000 is an apocalyptic number.

523142944000 is a gapful number since it is divisible by the number (50) 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 523142944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669915726480).

523142944000 is an abundant number, since it is smaller than the sum of its proper divisors (816688508960).

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

523142944000 is a wasteful number, since it uses less digits than its factorization.

523142944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 523142944000 in words is "five hundred twenty-three billion, one hundred forty-two million, nine hundred forty-four thousand".