109061941248 has 288 divisors, whose sum is σ = 341140101120. Its totient is φ = 33367818240.

The previous prime is 109061941243. The next prime is 109061941267. The reversal of 109061941248 is 842149160901.

It is a happy number.

109061941248 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 619 + 4 + 1 + 24 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (109061941243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45765465 + ... + 45767847.

It is an arithmetic number, because the mean of its divisors is an integer number (1184514240).

Almost surely, 2^109061941248 is an apocalyptic number.

109061941248 is a gapful number since it is divisible by the number (18) 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 109061941248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170570050560).

109061941248 is an abundant number, since it is smaller than the sum of its proper divisors (232078159872).

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

109061941248 is a wasteful number, since it uses less digits than its factorization.

109061941248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2615 (or 2592 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 109061941248 in words is "one hundred nine billion, sixty-one million, nine hundred forty-one thousand, two hundred forty-eight".