109230911741952 has 4032 divisors, whose sum is σ = 460499827027968. Its totient is φ = 25416695808000.

The previous prime is 109230911741923. The next prime is 109230911741983. The reversal of 109230911741952 is 259147119032901.

109230911741952 is a `hidden beast` number, since 1 + 0 + 92 + 3 + 0 + 91 + 1 + 7 + 419 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 571889590177 + ... + 571889590367.

It is an arithmetic number, because the mean of its divisors is an integer number (114211266624).

Almost surely, 2^{109230911741952} is an apocalyptic number.

109230911741952 is a gapful number since it is divisible by the number (12) 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 109230911741952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230249913513984).

109230911741952 is an abundant number, since it is smaller than the sum of its proper divisors (351268915286016).

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

109230911741952 is a wasteful number, since it uses less digits than its factorization.

109230911741952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 109230911741952 in words is "one hundred nine trillion, two hundred thirty billion, nine hundred eleven million, seven hundred forty-one thousand, nine hundred fifty-two".