1283523916032 has 324 divisors, whose sum is σ = 3851701425936. Its totient is φ = 426857610240.

The previous prime is 1283523916001. The next prime is 1283523916057. The reversal of 1283523916032 is 2306193253821.

1283523916032 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 5 + 2 + 39 + 1 + 603 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a super-2 number, since 2×1283523916032² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1321857307 + ... + 1321858277.

It is an arithmetic number, because the mean of its divisors is an integer number (11887967364).

Almost surely, 2^{1283523916032} is an apocalyptic number.

1283523916032 is a gapful number since it is divisible by the number (12) 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 1283523916032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925850712968).

1283523916032 is an abundant number, since it is smaller than the sum of its proper divisors (2568177509904).

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

1283523916032 is an frugal number, since it uses more digits than its factorization.

1283523916032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 1283523916032 in words is "one trillion, two hundred eighty-three billion, five hundred twenty-three million, nine hundred sixteen thousand, thirty-two".