348483447164160 has 2592 divisors, whose sum is σ = 1559125990566144. Its totient is φ = 70304661504000.

The previous prime is 348483447164159. The next prime is 348483447164179. The reversal of 348483447164160 is 61461744384843.

348483447164160 is a `hidden beast` number, since 3 + 4 + 8 + 4 + 8 + 344 + 71 + 64 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 72585593760 + ... + 72585598560.

Almost surely, 2^{348483447164160} is an apocalyptic number.

348483447164160 is a gapful number since it is divisible by the number (30) 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 348483447164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779562995283072).

348483447164160 is an abundant number, since it is smaller than the sum of its proper divisors (1210642543401984).

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

348483447164160 is a wasteful number, since it uses less digits than its factorization.

348483447164160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5073 (or 5045 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 63.

The spelling of 348483447164160 in words is "three hundred forty-eight trillion, four hundred eighty-three billion, four hundred forty-seven million, one hundred sixty-four thousand, one hundred sixty".