351278457395776 has 189 divisors, whose sum is σ = 749192039734971. Its totient is φ = 163402749886464.

The previous prime is 351278457395741. The next prime is 351278457395777. The reversal of 351278457395776 is 677593754872153.

The square root of 351278457395776 is 18742424.

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 239964141082176 + 111314316313600 = 15490776^2 + 10550560^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 351278457395696 and 351278457395705.

It is not an unprimeable number, because it can be changed into a prime (351278457395777) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 127598421216 + ... + 127598423968.

Almost surely, 2^{351278457395776} is an apocalyptic number.

351278457395776 is the 18742424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351278457395776

351278457395776 is an abundant number, since it is smaller than the sum of its proper divisors (397913582339195).

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

351278457395776 is an frugal number, since it uses more digits than its factorization.

351278457395776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5638 (or 2815 counting only the distinct ones).

The product of its digits is 9335088000, while the sum is 79.

The spelling of 351278457395776 in words is "three hundred fifty-one trillion, two hundred seventy-eight billion, four hundred fifty-seven million, three hundred ninety-five thousand, seven hundred seventy-six".