351444640064610 has 256 divisors, whose sum is σ = 919272746188800. Its totient is φ = 85684138896384.

The previous prime is 351444640064587. The next prime is 351444640064671. The reversal of 351444640064610 is 16460046444153.

It is a self number, because there is not a number n which added to its sum of digits gives 351444640064610.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12007387056 + ... + 12007416324.

It is an arithmetic number, because the mean of its divisors is an integer number (3590909164800).

Almost surely, 2^{351444640064610} is an apocalyptic number.

351444640064610 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 351444640064610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459636373094400).

351444640064610 is an abundant number, since it is smaller than the sum of its proper divisors (567828106124190).

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

351444640064610 is a wasteful number, since it uses less digits than its factorization.

351444640064610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33945.

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 351444640064610 in words is "three hundred fifty-one trillion, four hundred forty-four billion, six hundred forty million, sixty-four thousand, six hundred ten".