109377783648 has 384 divisors, whose sum is σ = 381870720000. Its totient is φ = 30169262592.

The previous prime is 109377783583. The next prime is 109377783701. The reversal of 109377783648 is 846387773901.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14202903 + ... + 14210601.

It is an arithmetic number, because the mean of its divisors is an integer number (994455000).

Almost surely, 2^109377783648 is an apocalyptic number.

109377783648 is a gapful number since it is divisible by the number (18) 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 109377783648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190935360000).

109377783648 is an abundant number, since it is smaller than the sum of its proper divisors (272492936352).

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

109377783648 is an frugal number, since it uses more digits than its factorization.

109377783648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7766 (or 7740 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

It can be divided in two parts, 109377 and 783648, that added together give a square (893025 = 945²).

The spelling of 109377783648 in words is "one hundred nine billion, three hundred seventy-seven million, seven hundred eighty-three thousand, six hundred forty-eight".