310852161000000 has 1029 divisors, whose sum is σ = 1157818033118383. Its totient is φ = 82766966400000.

The previous prime is 310852160999983. The next prime is 310852161000001. The reversal of 310852161000000 is 161258013.

The square root of 310852161000000 is 17631000.

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

310852161000000 is a `hidden beast` number, since 31 + 0 + 8 + 521 + 6 + 100 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 179478751593024 + 131373409406976 = 13396968^2 + 11461824^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (310852161000001) by changing a digit.

It is a polite number, since it can be written in 146 ways as a sum of consecutive naturals, for example, 476036999674 + ... + 476037000326.

Almost surely, 2^{310852161000000} is an apocalyptic number.

310852161000000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

310852161000000 is the 17631000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 310852161000000

310852161000000 is an abundant number, since it is smaller than the sum of its proper divisors (846965872118383).

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

310852161000000 is an frugal number, since it uses more digits than its factorization.

310852161000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 310852161000000 in words is "three hundred ten trillion, eight hundred fifty-two billion, one hundred sixty-one million", and thus it is an aban number.