109095852450816 has 2079 divisors, whose sum is σ = 420764167431657. Its totient is φ = 28156097249280.

The previous prime is 109095852450749. The next prime is 109095852450839. The reversal of 109095852450816 is 618054258590901.

The square root of 109095852450816 is 10444896.

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

109095852450816 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 9 + 58 + 52 + 450 + 81 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31977667814400 + 77118184636416 = 5654880^2 + 8781696^2 .

It is a tau number, because it is divible by the number of its divisors (2079).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 188 ways as a sum of consecutive naturals, for example, 694878041010 + ... + 694878041166.

Almost surely, 2^{109095852450816} is an apocalyptic number.

109095852450816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

109095852450816 is the 10444896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109095852450816

109095852450816 is an abundant number, since it is smaller than the sum of its proper divisors (311668314980841).

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

109095852450816 is an frugal number, since it uses more digits than its factorization.

109095852450816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 63.

The spelling of 109095852450816 in words is "one hundred nine trillion, ninety-five billion, eight hundred fifty-two million, four hundred fifty thousand, eight hundred sixteen".