349178068512 has 288 divisors, whose sum is σ = 1267389631872. Its totient is φ = 92090732544.

The previous prime is 349178068507. The next prime is 349178068541. The reversal of 349178068512 is 215860871943.

349178068512 is a `hidden beast` number, since 3 + 49 + 1 + 7 + 80 + 6 + 8 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 460888 + ... + 954344.

It is an arithmetic number, because the mean of its divisors is an integer number (4400658444).

It is a 2-persistent number, because it is pandigital, and so is 2⋅349178068512 = 698356137024, but 3⋅349178068512 = 1047534205536 is not.

Almost surely, 2^349178068512 is an apocalyptic number.

349178068512 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 349178068512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633694815936).

349178068512 is an abundant number, since it is smaller than the sum of its proper divisors (918211563360).

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

349178068512 is a wasteful number, since it uses less digits than its factorization.

349178068512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493502 (or 493482 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 349178068512 in words is "three hundred forty-nine billion, one hundred seventy-eight million, sixty-eight thousand, five hundred twelve".