1064374329312 has 288 divisors, whose sum is σ = 3618578880000. Its totient is φ = 303491494656.

The previous prime is 1064374329307. The next prime is 1064374329323. The reversal of 1064374329312 is 2139234734601.

1064374329312 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 3 + 7 + 4 + 329 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1064374329312² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21100473 + ... + 21150855.

It is an arithmetic number, because the mean of its divisors is an integer number (12564510000).

Almost surely, 2^{1064374329312} is an apocalyptic number.

1064374329312 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 1064374329312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809289440000).

1064374329312 is an abundant number, since it is smaller than the sum of its proper divisors (2554204550688).

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

1064374329312 is a wasteful number, since it uses less digits than its factorization.

1064374329312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50915 (or 50894 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 1064374329312 in words is "one trillion, sixty-four billion, three hundred seventy-four million, three hundred twenty-nine thousand, three hundred twelve".