1346416512 has 192 divisors, whose sum is σ = 4195382400. Its totient is φ = 381459456.

The previous prime is 1346416499. The next prime is 1346416537. The reversal of 1346416512 is 2156146431.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×1346416512³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 3066789 + ... + 3067227.

It is an arithmetic number, because the mean of its divisors is an integer number (21850950).

Almost surely, 2^1346416512 is an apocalyptic number.

1346416512 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 1346416512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097691200).

1346416512 is an abundant number, since it is smaller than the sum of its proper divisors (2848965888).

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

1346416512 is a wasteful number, since it uses less digits than its factorization.

1346416512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 614 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 1346416512 is about 36693.5486427792. The cubic root of 1346416512 is about 1104.2306806344.

The spelling of 1346416512 in words is "one billion, three hundred forty-six million, four hundred sixteen thousand, five hundred twelve".