3542315466816 has 567 divisors, whose sum is σ = 12565814754909. Its totient is φ = 951109963776.

The previous prime is 3542315466779. The next prime is 3542315466821. The reversal of 3542315466816 is 6186645132453.

The square root of 3542315466816 is 1882104.

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

3542315466816 is a `hidden beast` number, since 3 + 5 + 4 + 2 + 31 + 546 + 68 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2757858062400 + 784457404416 = 1660680^2 + 885696^2 .

It is a super-3 number, since 3×3542315466816³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5375288695 + ... + 5375289353.

Almost surely, 2^{3542315466816} is an apocalyptic number.

3542315466816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3542315466816 is the 1882104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3542315466816

3542315466816 is an abundant number, since it is smaller than the sum of its proper divisors (9023499288093).

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

3542315466816 is an equidigital number, since it uses as much as digits as its factorization.

3542315466816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 688 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 3542315466816 in words is "three trillion, five hundred forty-two billion, three hundred fifteen million, four hundred sixty-six thousand, eight hundred sixteen".