100460482222464 has 1280 divisors, whose sum is σ = 373943642688000. Its totient is φ = 26067831422976.

The previous prime is 100460482222333. The next prime is 100460482222489. The reversal of 100460482222464 is 464222284064001.

100460482222464 is a `hidden beast` number, since 10 + 0 + 4 + 60 + 482 + 22 + 24 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14819362627 + ... + 14819369405.

It is an arithmetic number, because the mean of its divisors is an integer number (292143470850).

Almost surely, 2^{100460482222464} is an apocalyptic number.

100460482222464 is a gapful number since it is divisible by the number (14) 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 100460482222464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186971821344000).

100460482222464 is an abundant number, since it is smaller than the sum of its proper divisors (273483160465536).

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

100460482222464 is a wasteful number, since it uses less digits than its factorization.

100460482222464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7077 (or 7056 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The spelling of 100460482222464 in words is "one hundred trillion, four hundred sixty billion, four hundred eighty-two million, two hundred twenty-two thousand, four hundred sixty-four".