109485444960 has 960 divisors, whose sum is σ = 426724562880. Its totient is φ = 26336378880.

The previous prime is 109485444949. The next prime is 109485444961. The reversal of 109485444960 is 69444584901.

109485444960 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 8 + 544 + 4 + 96 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 109485444897 and 109485444906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109485444961) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 555763582 + ... + 555763778.

It is an arithmetic number, because the mean of its divisors is an integer number (444504753).

Almost surely, 2^109485444960 is an apocalyptic number.

109485444960 is a gapful number since it is divisible by the number (10) 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 109485444960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213362281440).

109485444960 is an abundant number, since it is smaller than the sum of its proper divisors (317239117920).

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

109485444960 is a wasteful number, since it uses less digits than its factorization.

109485444960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 109485444960 in words is "one hundred nine billion, four hundred eighty-five million, four hundred forty-four thousand, nine hundred sixty".