1283696249472 has 512 divisors, whose sum is σ = 4687381440000. Its totient is φ = 336787144704.

The previous prime is 1283696249467. The next prime is 1283696249489. The reversal of 1283696249472 is 2749426963821.

1283696249472 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 69 + 62 + 49 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60687154 + ... + 60708302.

It is an arithmetic number, because the mean of its divisors is an integer number (9155041875).

Almost surely, 2^{1283696249472} is an apocalyptic number.

1283696249472 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 1283696249472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343690720000).

1283696249472 is an abundant number, since it is smaller than the sum of its proper divisors (3403685190528).

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

1283696249472 is a wasteful number, since it uses less digits than its factorization.

1283696249472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21385 (or 21367 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 1283696249472 in words is "one trillion, two hundred eighty-three billion, six hundred ninety-six million, two hundred forty-nine thousand, four hundred seventy-two".