1046312455056 has 320 divisors, whose sum is σ = 3153561016320. Its totient is φ = 295746232320.

The previous prime is 1046312455051. The next prime is 1046312455061. The reversal of 1046312455056 is 6505542136401.

It is an interprime number because it is at equal distance from previous prime (1046312455051) and next prime (1046312455061).

It is a junction number, because it is equal to n+sod(n) for n = 1046312454999 and 1046312455017.

It is not an unprimeable number, because it can be changed into a prime (1046312455051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 432895960 + ... + 432898376.

It is an arithmetic number, because the mean of its divisors is an integer number (9854878176).

Almost surely, 2^{1046312455056} is an apocalyptic number.

1046312455056 is a gapful number since it is divisible by the number (16) 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 1046312455056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576780508160).

1046312455056 is an abundant number, since it is smaller than the sum of its proper divisors (2107248561264).

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

1046312455056 is a wasteful number, since it uses less digits than its factorization.

1046312455056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 1046312455056 in words is "one trillion, forty-six billion, three hundred twelve million, four hundred fifty-five thousand, fifty-six".