100019466084352 has 112 divisors (see below), whose sum is σ = 203352089169024. Its totient is φ = 49178714112000.

The previous prime is 100019466084341. The next prime is 100019466084449. The reversal of 100019466084352 is 253480664910001.

It is a junction number, because it is equal to n+sod(n) for n = 100019466084296 and 100019466084305.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2464059577 + ... + 2464100167.

Almost surely, 2^{100019466084352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100019466084352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101676044584512).

100019466084352 is an abundant number, since it is smaller than the sum of its proper divisors (103332623084672).

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

100019466084352 is an frugal number, since it uses more digits than its factorization.

100019466084352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45609 (or 45585 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The spelling of 100019466084352 in words is "one hundred trillion, nineteen billion, four hundred sixty-six million, eighty-four thousand, three hundred fifty-two".