348672622592 has 162 divisors, whose sum is σ = 814690898973. Its totient is φ = 148789788672.

The previous prime is 348672622547. The next prime is 348672622601. The reversal of 348672622592 is 295226276843.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 314604322816 + 34068299776 = 560896^2 + 184576^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=417536.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1496448908 + ... + 1496449140.

Almost surely, 2^348672622592 is an apocalyptic number.

348672622592 is a gapful number since it is divisible by the number (32) 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 348672622592

348672622592 is an abundant number, since it is smaller than the sum of its proper divisors (466018276381).

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

348672622592 is an frugal number, since it uses more digits than its factorization.

348672622592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 242 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 56.

The spelling of 348672622592 in words is "three hundred forty-eight billion, six hundred seventy-two million, six hundred twenty-two thousand, five hundred ninety-two".