1346148630528 has 432 divisors, whose sum is σ = 3979003585536. Its totient is φ = 404446248960.

The previous prime is 1346148630511. The next prime is 1346148630529. The reversal of 1346148630528 is 8250368416431.

It is a super-2 number, since 2×1346148630528² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1346148630529) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3123314473 + ... + 3123314903.

It is an arithmetic number, because the mean of its divisors is an integer number (9210656448).

Almost surely, 2^{1346148630528} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1346148630528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989501792768).

1346148630528 is an abundant number, since it is smaller than the sum of its proper divisors (2632854955008).

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

1346148630528 is an frugal number, since it uses more digits than its factorization.

1346148630528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 1346148630528 in words is "one trillion, three hundred forty-six billion, one hundred forty-eight million, six hundred thirty thousand, five hundred twenty-eight".