1012316683056 has 480 divisors, whose sum is σ = 3260249664000. Its totient is φ = 269781926400.

The previous prime is 1012316682991. The next prime is 1012316683123. The reversal of 1012316683056 is 6503866132101.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1012316682999 and 1012316683017.

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, 5655400375 + ... + 5655400553.

It is an arithmetic number, because the mean of its divisors is an integer number (6792186800).

Almost surely, 2^{1012316683056} is an apocalyptic number.

1012316683056 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 1012316683056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630124832000).

1012316683056 is an abundant number, since it is smaller than the sum of its proper divisors (2247932980944).

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

1012316683056 is a wasteful number, since it uses less digits than its factorization.

1012316683056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 1012316683056 in words is "one trillion, twelve billion, three hundred sixteen million, six hundred eighty-three thousand, fifty-six".