7952941449216 has 621 divisors, whose sum is σ = 25343550416509. Its totient is φ = 2495040454656.

The previous prime is 7952941449179. The next prime is 7952941449217. The reversal of 7952941449216 is 6129441492597.

The square root of 7952941449216 is 2820096.

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

7952941449216 is a `hidden beast` number, since 7 + 9 + 52 + 94 + 1 + 4 + 492 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6191736422400 + 1761205026816 = 2488320^2 + 1327104^2 .

It is a Duffinian number.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (7952941449217) 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, 467820085240 + ... + 467820085256.

Almost surely, 2^{7952941449216} is an apocalyptic number.

7952941449216 is the 2820096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7952941449216

7952941449216 is an abundant number, since it is smaller than the sum of its proper divisors (17390608967293).

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

7952941449216 is an frugal number, since it uses more digits than its factorization.

7952941449216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 22 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The spelling of 7952941449216 in words is "seven trillion, nine hundred fifty-two billion, nine hundred forty-one million, four hundred forty-nine thousand, two hundred sixteen".