351913944066048 has 4608 divisors, whose sum is σ = 1435993767936000. Its totient is φ = 83511044997120.

The previous prime is 351913944066037. The next prime is 351913944066073. The reversal of 351913944066048 is 840660449319153.

It is a happy number.

351913944066048 is a `hidden beast` number, since 3 + 5 + 1 + 9 + 13 + 9 + 4 + 4 + 0 + 6 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2107269126061 + ... + 2107269126227.

It is an arithmetic number, because the mean of its divisors is an integer number (311630592000).

Almost surely, 2^{351913944066048} is an apocalyptic number.

351913944066048 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351913944066048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717996883968000).

351913944066048 is an abundant number, since it is smaller than the sum of its proper divisors (1084079823869952).

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

351913944066048 is a wasteful number, since it uses less digits than its factorization.

351913944066048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 351913944066048 in words is "three hundred fifty-one trillion, nine hundred thirteen billion, nine hundred forty-four million, sixty-six thousand, forty-eight".