1346607838464 has 576 divisors, whose sum is σ = 4432558878720. Its totient is φ = 354207006720.

The previous prime is 1346607838463. The next prime is 1346607838507. The reversal of 1346607838464 is 4648387066431.

It is a super-2 number, since 2×1346607838464² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1346607838398 and 1346607838407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1346607838463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 901946902 + ... + 901948394.

It is an arithmetic number, because the mean of its divisors is an integer number (7695414720).

Almost surely, 2^{1346607838464} is an apocalyptic number.

1346607838464 is a gapful number since it is divisible by the number (14) 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 1346607838464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2216279439360).

1346607838464 is an abundant number, since it is smaller than the sum of its proper divisors (3085951040256).

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

1346607838464 is a wasteful number, since it uses less digits than its factorization.

1346607838464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 60.

The spelling of 1346607838464 in words is "one trillion, three hundred forty-six billion, six hundred seven million, eight hundred thirty-eight thousand, four hundred sixty-four".