109465284672 has 336 divisors, whose sum is σ = 329213626560. Its totient is φ = 34744320000.

The previous prime is 109465284671. The next prime is 109465284707. The reversal of 109465284672 is 276482564901.

109465284672 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 6 + 528 + 46 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (109465284671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 349729188 + ... + 349729500.

It is an arithmetic number, because the mean of its divisors is an integer number (979802460).

Almost surely, 2^109465284672 is an apocalyptic number.

109465284672 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 109465284672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164606813280).

109465284672 is an abundant number, since it is smaller than the sum of its proper divisors (219748341888).

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

109465284672 is a wasteful number, since it uses less digits than its factorization.

109465284672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 109465284672 in words is "one hundred nine billion, four hundred sixty-five million, two hundred eighty-four thousand, six hundred seventy-two".