351298031616 has 637 divisors, whose sum is σ = 1228829391091. Its totient is φ = 100370866176.

The previous prime is 351298031569. The next prime is 351298031629. The reversal of 351298031616 is 616130892153.

The square root of 351298031616 is 592704.

The cubic root of 351298031616 is 7056.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

351298031616 is a `hidden beast` number, since 3 + 5 + 1 + 29 + 8 + 0 + 3 + 1 + 616 = 666.

It is a super-2 number, since 2×351298031616² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 50185433085 + ... + 50185433091.

Almost surely, 2^351298031616 is an apocalyptic number.

351298031616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

351298031616 is the 592704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351298031616

351298031616 is an abundant number, since it is smaller than the sum of its proper divisors (877531359475).

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

351298031616 is an frugal number, since it uses more digits than its factorization.

351298031616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 351298031616 in words is "three hundred fifty-one billion, two hundred ninety-eight million, thirty-one thousand, six hundred sixteen".