100421745865488 has 320 divisors, whose sum is σ = 311394073670400. Its totient is φ = 30881419776000.

The previous prime is 100421745865457. The next prime is 100421745865513. The reversal of 100421745865488 is 884568547124001.

100421745865488 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 2 + 1 + 7 + 4 + 5 + 86 + 548 + 8 = 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 63 ways as a sum of consecutive naturals, for example, 181785858 + ... + 182337438.

It is an arithmetic number, because the mean of its divisors is an integer number (973106480220).

Almost surely, 2^{100421745865488} is an apocalyptic number.

100421745865488 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 100421745865488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155697036835200).

100421745865488 is an abundant number, since it is smaller than the sum of its proper divisors (210972327804912).

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

100421745865488 is a wasteful number, since it uses less digits than its factorization.

100421745865488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552199 (or 552187 counting only the distinct ones).

The product of its (nonzero) digits is 68812800, while the sum is 63.

The spelling of 100421745865488 in words is "one hundred trillion, four hundred twenty-one billion, seven hundred forty-five million, eight hundred sixty-five thousand, four hundred eighty-eight".