351250067713000 has 256 divisors, whose sum is σ = 871928106716160. Its totient is φ = 131984100864000.

The previous prime is 351250067712953. The next prime is 351250067713001. The reversal of 351250067713000 is 317760052153.

It is a happy number.

It is a super-2 number, since 2×351250067713000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (351250067713001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41880294807 + ... + 41880303193.

It is an arithmetic number, because the mean of its divisors is an integer number (3405969166860).

Almost surely, 2^{351250067713000} 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 351250067713000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435964053358080).

351250067713000 is an abundant number, since it is smaller than the sum of its proper divisors (520678039003160).

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

351250067713000 is a wasteful number, since it uses less digits than its factorization.

351250067713000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12813 (or 12799 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 40.

The spelling of 351250067713000 in words is "three hundred fifty-one trillion, two hundred fifty billion, sixty-seven million, seven hundred thirteen thousand".