345177084798 has 256 divisors, whose sum is σ = 965534976000. Its totient is φ = 90828501120.

The previous prime is 345177084793. The next prime is 345177084869. The reversal of 345177084798 is 897480771543.

345177084798 is a `hidden beast` number, since 3 + 4 + 517 + 70 + 8 + 47 + 9 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345177084793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 125929708 + ... + 125932448.

It is an arithmetic number, because the mean of its divisors is an integer number (3771621000).

Almost surely, 2^345177084798 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345177084798, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482767488000).

345177084798 is an abundant number, since it is smaller than the sum of its proper divisors (620357891202).

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

345177084798 is a wasteful number, since it uses less digits than its factorization.

345177084798 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309 (or 3289 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 345177084798 in words is "three hundred forty-five billion, one hundred seventy-seven million, eighty-four thousand, seven hundred ninety-eight".