109548924286464 has 960 divisors, whose sum is σ = 375482348841600. Its totient is φ = 30431662571520.

The previous prime is 109548924286453. The next prime is 109548924286601. The reversal of 109548924286464 is 464682429845901.

109548924286464 is a `hidden beast` number, since 1 + 0 + 9 + 5 + 4 + 89 + 2 + 4 + 2 + 86 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 109548924286392 and 109548924286401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2675232262 + ... + 2675273210.

It is an arithmetic number, because the mean of its divisors is an integer number (391127446710).

Almost surely, 2^{109548924286464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109548924286464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187741174420800).

109548924286464 is an abundant number, since it is smaller than the sum of its proper divisors (265933424555136).

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

109548924286464 is a wasteful number, since it uses less digits than its factorization.

109548924286464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41111 (or 41092 counting only the distinct ones).

The product of its (nonzero) digits is 955514880, while the sum is 72.

The spelling of 109548924286464 in words is "one hundred nine trillion, five hundred forty-eight billion, nine hundred twenty-four million, two hundred eighty-six thousand, four hundred sixty-four".