100446504468480 has 2400 divisors, whose sum is σ = 396809303204160. Its totient is φ = 24216569118720.

The previous prime is 100446504468467. The next prime is 100446504468511. The reversal of 100446504468480 is 84864405644001.

100446504468480 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 4 + 65 + 0 + 44 + 68 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 284551003984 + ... + 284551004336.

Almost surely, 2^{100446504468480} is an apocalyptic number.

100446504468480 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 100446504468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198404651602080).

100446504468480 is an abundant number, since it is smaller than the sum of its proper divisors (296362798735680).

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

100446504468480 is an equidigital number, since it uses as much as digits as its factorization.

100446504468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 100446504468480 in words is "one hundred trillion, four hundred forty-six billion, five hundred four million, four hundred sixty-eight thousand, four hundred eighty".