109351024066816 has 243 divisors, whose sum is σ = 257638939451901. Its totient is φ = 46186602319872.

The previous prime is 109351024066763. The next prime is 109351024066871. The reversal of 109351024066816 is 618660420153901.

It is a happy number.

The square root of 109351024066816 is 10457104.

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

It can be written as a sum of positive squares in only one way, i.e., 62072968249600 + 47278055817216 = 7878640^2 + 6875904^2 .

It is a super-2 number, since 2×109351024066816² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 85497281665 + ... + 85497282943.

Almost surely, 2^{109351024066816} is an apocalyptic number.

109351024066816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

109351024066816 is the 10457104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109351024066816

109351024066816 is an abundant number, since it is smaller than the sum of its proper divisors (148287915385085).

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

109351024066816 is an frugal number, since it uses more digits than its factorization.

109351024066816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2734 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 52.

The spelling of 109351024066816 in words is "one hundred nine trillion, three hundred fifty-one billion, twenty-four million, sixty-six thousand, eight hundred sixteen".