1283528623104 has 1320 divisors, whose sum is σ = 5087619777240. Its totient is φ = 318377558016.

The previous prime is 1283528623099. The next prime is 1283528623183. The reversal of 1283528623104 is 4013268253821.

1283528623104 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 5 + 2 + 8 + 623 + 10 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8977941504 + 1274550681600 = 94752^2 + 1128960^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1283528623104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 898199862 + ... + 898201290.

It is an arithmetic number, because the mean of its divisors is an integer number (3854257407).

Almost surely, 2^{1283528623104} is an apocalyptic number.

1283528623104 is a gapful number since it is divisible by the number (14) 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 1283528623104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2543809888620).

1283528623104 is an abundant number, since it is smaller than the sum of its proper divisors (3804091154136).

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

1283528623104 is a wasteful number, since it uses less digits than its factorization.

1283528623104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 1283528623104 in words is "one trillion, two hundred eighty-three billion, five hundred twenty-eight million, six hundred twenty-three thousand, one hundred four".