350889253848 has 192 divisors, whose sum is σ = 1150929000000. Its totient is φ = 94278352896.

The previous prime is 350889253823. The next prime is 350889253849. The reversal of 350889253848 is 848352988053.

350889253848 is a `hidden beast` number, since 3 + 5 + 0 + 8 + 8 + 92 + 538 + 4 + 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 (350889253849) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10685038 + ... + 10717826.

It is an arithmetic number, because the mean of its divisors is an integer number (5994421875).

Almost surely, 2^350889253848 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 350889253848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575464500000).

350889253848 is an abundant number, since it is smaller than the sum of its proper divisors (800039746152).

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

350889253848 is a wasteful number, since it uses less digits than its factorization.

350889253848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34074 (or 34067 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 350889253848 in words is "three hundred fifty billion, eight hundred eighty-nine million, two hundred fifty-three thousand, eight hundred forty-eight".