109945741950 has 288 divisors, whose sum is σ = 338448195072. Its totient is φ = 25328160000.

The previous prime is 109945741907. The next prime is 109945741951. The reversal of 109945741950 is 59147549901.

It is a happy number.

109945741950 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 4 + 574 + 19 + 50 = 666.

109945741950 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109945741951) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17871375 + ... + 17877525.

It is an arithmetic number, because the mean of its divisors is an integer number (1175167344).

Almost surely, 2^109945741950 is an apocalyptic number.

109945741950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 109945741950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169224097536).

109945741950 is an abundant number, since it is smaller than the sum of its proper divisors (228502453122).

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

109945741950 is a wasteful number, since it uses less digits than its factorization.

109945741950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6360 (or 6352 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 109945741950 in words is "one hundred nine billion, nine hundred forty-five million, seven hundred forty-one thousand, nine hundred fifty".