1064283450672 has 160 divisors (see below), whose sum is σ = 3021078513600. Its totient is φ = 320832884736.

The previous prime is 1064283450641. The next prime is 1064283450673. The reversal of 1064283450672 is 2760543824601.

It is a super-2 number, since 2×1064283450672² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1064283450673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23425354 + ... + 23470742.

It is an arithmetic number, because the mean of its divisors is an integer number (18881740710).

Almost surely, 2^{1064283450672} is an apocalyptic number.

1064283450672 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 1064283450672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510539256800).

1064283450672 is an abundant number, since it is smaller than the sum of its proper divisors (1956795062928).

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

1064283450672 is a wasteful number, since it uses less digits than its factorization.

1064283450672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46175 (or 46169 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 1064283450672 in words is "one trillion, sixty-four billion, two hundred eighty-three million, four hundred fifty thousand, six hundred seventy-two".