109182519516672 has 1120 divisors, whose sum is σ = 386262244634112. Its totient is φ = 30165688369152.

The previous prime is 109182519516611. The next prime is 109182519516677. The reversal of 109182519516672 is 276615915281901.

It is a happy number.

109182519516672 is a `hidden beast` number, since 1 + 0 + 9 + 1 + 8 + 2 + 51 + 9 + 516 + 67 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109182519516677) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 16144092363 + ... + 16144099125.

Almost surely, 2^{109182519516672} is an apocalyptic number.

109182519516672 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 109182519516672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193131122317056).

109182519516672 is an abundant number, since it is smaller than the sum of its proper divisors (277079725117440).

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

109182519516672 is an frugal number, since it uses more digits than its factorization.

109182519516672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7010 (or 6979 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 63.

The spelling of 109182519516672 in words is "one hundred nine trillion, one hundred eighty-two billion, five hundred nineteen million, five hundred sixteen thousand, six hundred seventy-two".