350807466144 has 192 divisors, whose sum is σ = 975477178368. Its totient is φ = 110160230400.

The previous prime is 350807466089. The next prime is 350807466157. The reversal of 350807466144 is 441664708053.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 350807466093 and 350807466102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166179649 + ... + 166181759.

It is an arithmetic number, because the mean of its divisors is an integer number (5080610304).

Almost surely, 2^350807466144 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 350807466144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487738589184).

350807466144 is an abundant number, since it is smaller than the sum of its proper divisors (624669712224).

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

350807466144 is a wasteful number, since it uses less digits than its factorization.

350807466144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3251 (or 3243 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 350807466144 in words is "three hundred fifty billion, eight hundred seven million, four hundred sixty-six thousand, one hundred forty-four".