348166368000 has 1296 divisors, whose sum is σ = 1404752801088. Its totient is φ = 82722816000.

The previous prime is 348166367999. The next prime is 348166368023. The reversal of 348166368000 is 863661843.

348166368000 is a `hidden beast` number, since 3 + 4 + 8 + 1 + 6 + 636 + 8 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×348166368000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3380255949 + ... + 3380256051.

Almost surely, 2^348166368000 is an apocalyptic number.

348166368000 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 348166368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702376400544).

348166368000 is an abundant number, since it is smaller than the sum of its proper divisors (1056586433088).

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

348166368000 is a wasteful number, since it uses less digits than its factorization.

348166368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 348166368000 in words is "three hundred forty-eight billion, one hundred sixty-six million, three hundred sixty-eight thousand".