100862218982448 has 240 divisors, whose sum is σ = 352406329956096. Its totient is φ = 26162236085760.

The previous prime is 100862218982407. The next prime is 100862218982491. The reversal of 100862218982448 is 844289812268001.

100862218982448 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 6 + 2 + 2 + 189 + 8 + 2 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1922511 + ... + 14332497.

Almost surely, 2^{100862218982448} is an apocalyptic number.

100862218982448 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 100862218982448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176203164978048).

100862218982448 is an abundant number, since it is smaller than the sum of its proper divisors (251544110973648).

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

100862218982448 is a wasteful number, since it uses less digits than its factorization.

100862218982448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12410752 (or 12410743 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 63.

The spelling of 100862218982448 in words is "one hundred trillion, eight hundred sixty-two billion, two hundred eighteen million, nine hundred eighty-two thousand, four hundred forty-eight".