1348132590480 has 480 divisors, whose sum is σ = 4681363230720. Its totient is φ = 320458844160.

The previous prime is 1348132590461. The next prime is 1348132590517. The reversal of 1348132590480 is 840952318431.

It is a super-2 number, since 2×1348132590480² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 828599427 + ... + 828601053.

It is an arithmetic number, because the mean of its divisors is an integer number (9752840064).

Almost surely, 2^{1348132590480} is an apocalyptic number.

1348132590480 is a gapful number since it is divisible by the number (10) 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 1348132590480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340681615360).

1348132590480 is an abundant number, since it is smaller than the sum of its proper divisors (3333230640240).

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

1348132590480 is a wasteful number, since it uses less digits than its factorization.

1348132590480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2359 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 1348132590480 in words is "one trillion, three hundred forty-eight billion, one hundred thirty-two million, five hundred ninety thousand, four hundred eighty".