109450557216 has 1152 divisors, whose sum is σ = 444380332032. Its totient is φ = 24634368000.

The previous prime is 109450557163. The next prime is 109450557221. The reversal of 109450557216 is 612755054901.

It is a happy number.

109450557216 is a `hidden beast` number, since 1 + 0 + 94 + 5 + 0 + 557 + 2 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 330666171 + ... + 330666501.

It is an arithmetic number, because the mean of its divisors is an integer number (385746816).

Almost surely, 2^109450557216 is an apocalyptic number.

109450557216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109450557216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222190166016).

109450557216 is an abundant number, since it is smaller than the sum of its proper divisors (334929774816).

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

109450557216 is a wasteful number, since it uses less digits than its factorization.

109450557216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

It can be divided in two parts, 109450 and 557216, that added together give a palindrome (666666).

The spelling of 109450557216 in words is "one hundred nine billion, four hundred fifty million, five hundred fifty-seven thousand, two hundred sixteen".