1348814057472 has 312 divisors, whose sum is σ = 4606250132640. Its totient is φ = 372084572160.

The previous prime is 1348814057441. The next prime is 1348814057527. The reversal of 1348814057472 is 2747504188431.

1348814057472 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 81 + 40 + 57 + 472 = 666.

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, 7393272 + ... + 7573512.

It is an arithmetic number, because the mean of its divisors is an integer number (14763622220).

Almost surely, 2^{1348814057472} is an apocalyptic number.

1348814057472 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 1348814057472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303125066320).

1348814057472 is an abundant number, since it is smaller than the sum of its proper divisors (3257436075168).

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

1348814057472 is a wasteful number, since it uses less digits than its factorization.

1348814057472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180307 (or 180282 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 1348814057472 in words is "one trillion, three hundred forty-eight billion, eight hundred fourteen million, fifty-seven thousand, four hundred seventy-two".