348451161408 has 252 divisors, whose sum is σ = 1212354131040. Its totient is φ = 95228711424.

The previous prime is 348451161361. The next prime is 348451161419. The reversal of 348451161408 is 804161154843.

348451161408 is a `hidden beast` number, since 3 + 4 + 84 + 5 + 1 + 161 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 380763 + ... + 917541.

Almost surely, 2^348451161408 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 348451161408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606177065520).

348451161408 is an abundant number, since it is smaller than the sum of its proper divisors (863902969632).

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

348451161408 is a wasteful number, since it uses less digits than its factorization.

348451161408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536834 (or 536814 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 348451161408 in words is "three hundred forty-eight billion, four hundred fifty-one million, one hundred sixty-one thousand, four hundred eight".