109461886920 has 320 divisors, whose sum is σ = 378549642240. Its totient is φ = 28469491200.

The previous prime is 109461886861. The next prime is 109461886927. The reversal of 109461886920 is 29688164901.

109461886920 is a `hidden beast` number, since 10 + 9 + 4 + 618 + 8 + 6 + 9 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (109461886927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32278425 + ... + 32281815.

It is an arithmetic number, because the mean of its divisors is an integer number (1182967632).

Almost surely, 2^109461886920 is an apocalyptic number.

109461886920 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 109461886920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189274821120).

109461886920 is an abundant number, since it is smaller than the sum of its proper divisors (269087755320).

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

109461886920 is an frugal number, since it uses more digits than its factorization.

109461886920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3470 (or 3442 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 109461886920 in words is "one hundred nine billion, four hundred sixty-one million, eight hundred eighty-six thousand, nine hundred twenty".