350198698752 has 864 divisors, whose sum is σ = 1292087946240. Its totient is φ = 91331297280.

The previous prime is 350198698747. The next prime is 350198698813. The reversal of 350198698752 is 257896891053.

350198698752 is a `hidden beast` number, since 350 + 198 + 6 + 98 + 7 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a self number, because there is not a number n which added to its sum of digits gives 350198698752.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1126040677 + ... + 1126040987.

It is an arithmetic number, because the mean of its divisors is an integer number (1495472160).

Almost surely, 2^350198698752 is an apocalyptic number.

350198698752 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 350198698752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646043973120).

350198698752 is an abundant number, since it is smaller than the sum of its proper divisors (941889247488).

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

350198698752 is a wasteful number, since it uses less digits than its factorization.

350198698752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 350198698752 in words is "three hundred fifty billion, one hundred ninety-eight million, six hundred ninety-eight thousand, seven hundred fifty-two".