1283014928664 has 1536 divisors, whose sum is σ = 4828037529600. Its totient is φ = 312692244480.

The previous prime is 1283014928651. The next prime is 1283014928711. The reversal of 1283014928664 is 4668294103821.

1283014928664 is a `hidden beast` number, since 12 + 8 + 3 + 0 + 1 + 492 + 86 + 64 = 666.

It is a super-2 number, since 2×1283014928664² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1283014928664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9365072404 + ... + 9365072540.

It is an arithmetic number, because the mean of its divisors is an integer number (3143253600).

Almost surely, 2^{1283014928664} is an apocalyptic number.

1283014928664 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 1283014928664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2414018764800).

1283014928664 is an abundant number, since it is smaller than the sum of its proper divisors (3545022600936).

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

1283014928664 is a wasteful number, since it uses less digits than its factorization.

1283014928664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 1283014928664 in words is "one trillion, two hundred eighty-three billion, fourteen million, nine hundred twenty-eight thousand, six hundred sixty-four".