100301481900648 has 480 divisors, whose sum is σ = 340148638431360. Its totient is φ = 27045927993600.

The previous prime is 100301481900637. The next prime is 100301481900703. The reversal of 100301481900648 is 846009184103001.

100301481900648 is a `hidden beast` number, since 10 + 0 + 30 + 1 + 481 + 90 + 0 + 6 + 48 = 666.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 430544998 + ... + 430777898.

It is an arithmetic number, because the mean of its divisors is an integer number (708642996732).

Almost surely, 2^{100301481900648} is an apocalyptic number.

100301481900648 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 100301481900648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170074319215680).

100301481900648 is an abundant number, since it is smaller than the sum of its proper divisors (239847156530712).

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

100301481900648 is a wasteful number, since it uses less digits than its factorization.

100301481900648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233227 (or 233195 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 100301481900648 in words is "one hundred trillion, three hundred one billion, four hundred eighty-one million, nine hundred thousand, six hundred forty-eight".