1284746890752 has 960 divisors, whose sum is σ = 4392372441600. Its totient is φ = 369545379840.

The previous prime is 1284746890639. The next prime is 1284746890799. The reversal of 1284746890752 is 2570986474821.

It is a happy number.

1284746890752 is a `hidden beast` number, since 1 + 2 + 8 + 474 + 6 + 8 + 90 + 75 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1284746890752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4572052852 + ... + 4572053132.

It is an arithmetic number, because the mean of its divisors is an integer number (4575387960).

Almost surely, 2^{1284746890752} is an apocalyptic number.

1284746890752 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 1284746890752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196186220800).

1284746890752 is an abundant number, since it is smaller than the sum of its proper divisors (3107625550848).

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

1284746890752 is a wasteful number, since it uses less digits than its factorization.

1284746890752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 1284746890752 in words is "one trillion, two hundred eighty-four billion, seven hundred forty-six million, eight hundred ninety thousand, seven hundred fifty-two".