1012749460268 has 576 divisors, whose sum is σ = 2510536089600. Its totient is φ = 352719360000.

The previous prime is 1012749460243. The next prime is 1012749460297. The reversal of 1012749460268 is 8620649472101.

1012749460268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1012749460268² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6706949993 + ... + 6706950143.

It is an arithmetic number, because the mean of its divisors is an integer number (4358569600).

Almost surely, 2^{1012749460268} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012749460268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255268044800).

1012749460268 is an abundant number, since it is smaller than the sum of its proper divisors (1497786629332).

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

1012749460268 is a wasteful number, since it uses less digits than its factorization.

1012749460268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 50.

The spelling of 1012749460268 in words is "one trillion, twelve billion, seven hundred forty-nine million, four hundred sixty thousand, two hundred sixty-eight".