1350467113216 has 243 divisors, whose sum is σ = 3019990271823. Its totient is φ = 602430566400.

The previous prime is 1350467113211. The next prime is 1350467113243. The reversal of 1350467113216 is 6123117640531.

It is a happy number.

The square root of 1350467113216 is 1162096.

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 5609410816 + 1344857702400 = 74896^2 + 1159680^2 .

It is a super-2 number, since 2×1350467113216² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1350467113211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8943490741 + ... + 8943490891.

Almost surely, 2^{1350467113216} is an apocalyptic number.

1350467113216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1350467113216 is the 1162096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1350467113216

1350467113216 is an abundant number, since it is smaller than the sum of its proper divisors (1669523158607).

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

1350467113216 is an frugal number, since it uses more digits than its factorization.

1350467113216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 1350467113216 in words is "one trillion, three hundred fifty billion, four hundred sixty-seven million, one hundred thirteen thousand, two hundred sixteen".