351040653481000 has 192 divisors, whose sum is σ = 955757099278800. Its totient is φ = 120330330624000.

The previous prime is 351040653480977. The next prime is 351040653481019. The reversal of 351040653481000 is 184356040153.

It can be written as a sum of positive squares in 8 ways, for example, as 52348726798564 + 298691926682436 = 7235242^2 + 17282706^2 .

It is a super-2 number, since 2×351040653481000² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222703636 + ... + 224274364.

Almost surely, 2^{351040653481000} 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 351040653481000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477878549639400).

351040653481000 is an abundant number, since it is smaller than the sum of its proper divisors (604716445797800).

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

351040653481000 is a wasteful number, since it uses less digits than its factorization.

351040653481000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575325 (or 1575304 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 351040653481000 in words is "three hundred fifty-one trillion, forty billion, six hundred fifty-three million, four hundred eighty-one thousand".