351964546756 has 27 divisors (see below), whose sum is σ = 654338374599. Its totient is φ = 165620882688.

The previous prime is 351964546753. The next prime is 351964546757. The reversal of 351964546756 is 657645469153.

The square root of 351964546756 is 593266.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 250850722500 + 101113824256 = 500850^2 + 317984^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 351964546694 and 351964546703.

It is not an unprimeable number, because it can be changed into a prime (351964546753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20162320 + ... + 20179768.

Almost surely, 2^351964546756 is an apocalyptic number.

351964546756 is the 593266-th square number.

It is an amenable number.

351964546756 is a deficient number, since it is larger than the sum of its proper divisors (302373827843).

351964546756 is an frugal number, since it uses more digits than its factorization.

351964546756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34936 (or 17468 counting only the distinct ones).

The product of its digits is 81648000, while the sum is 61.

The spelling of 351964546756 in words is "three hundred fifty-one billion, nine hundred sixty-four million, five hundred forty-six thousand, seven hundred fifty-six".