109462141662408 has 320 divisors, whose sum is σ = 315520593894000. Its totient is φ = 35441191526400.

The previous prime is 109462141662373. The next prime is 109462141662413. The reversal of 109462141662408 is 804266141264901.

109462141662408 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 6 + 2 + 1 + 4 + 1 + 6 + 624 + 0 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 13233457879524 + 96228683782884 = 3637782^2 + 9809622^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2846036298 + ... + 2846074758.

Almost surely, 2^{109462141662408} is an apocalyptic number.

109462141662408 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 109462141662408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157760296947000).

109462141662408 is an abundant number, since it is smaller than the sum of its proper divisors (206058452231592).

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

109462141662408 is a wasteful number, since it uses less digits than its factorization.

109462141662408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39438 (or 39425 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 109462141662408 in words is "one hundred nine trillion, four hundred sixty-two billion, one hundred forty-one million, six hundred sixty-two thousand, four hundred eight".