348814554880 has 144 divisors (see below), whose sum is σ = 913035128544. Its totient is φ = 126624727040.

The previous prime is 348814554863. The next prime is 348814554887. The reversal of 348814554880 is 88455418843.

It is a super-2 number, since 2×348814554880² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348814554887) by changing a digit.

It is a nontrivial repunit in base 7039.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8328552 + ... + 8370328.

It is an arithmetic number, because the mean of its divisors is an integer number (6340521726).

Almost surely, 2^348814554880 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 348814554880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456517564272).

348814554880 is an abundant number, since it is smaller than the sum of its proper divisors (564220573664).

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

348814554880 is a wasteful number, since it uses less digits than its factorization.

348814554880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42402 (or 42388 counting only the distinct ones).

The product of its (nonzero) digits is 19660800, while the sum is 58.

The spelling of 348814554880 in words is "three hundred forty-eight billion, eight hundred fourteen million, five hundred fifty-four thousand, eight hundred eighty".