100309162446480 has 1280 divisors, whose sum is σ = 363642425395200. Its totient is φ = 22788900126720.

The previous prime is 100309162446469. The next prime is 100309162446509. The reversal of 100309162446480 is 84644261903001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 176290267636 + ... + 176290268204.

It is an arithmetic number, because the mean of its divisors is an integer number (284095644840).

Almost surely, 2^{100309162446480} is an apocalyptic number.

100309162446480 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 100309162446480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181821212697600).

100309162446480 is an abundant number, since it is smaller than the sum of its proper divisors (263333262948720).

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

100309162446480 is a wasteful number, since it uses less digits than its factorization.

100309162446480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 100309162446480 in words is "one hundred trillion, three hundred nine billion, one hundred sixty-two million, four hundred forty-six thousand, four hundred eighty".