1034714446272 has 168 divisors, whose sum is σ = 3212865415760. Its totient is φ = 318373286400.

The previous prime is 1034714446267. The next prime is 1034714446291. The reversal of 1034714446272 is 2726444174301.

1034714446272 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 7 + 14 + 4 + 4 + 627 + 2 = 666.

1034714446272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 856647 + ... + 1674297.

Almost surely, 2^{1034714446272} is an apocalyptic number.

1034714446272 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 1034714446272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606432707880).

1034714446272 is an abundant number, since it is smaller than the sum of its proper divisors (2178150969488).

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

1034714446272 is an equidigital number, since it uses as much as digits as its factorization.

1034714446272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817708 (or 817669 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 1034714446272 in words is "one trillion, thirty-four billion, seven hundred fourteen million, four hundred forty-six thousand, two hundred seventy-two".