470451343421088 has 144 divisors (see below), whose sum is σ = 1343597911771752. Its totient is φ = 156144328704000.

The previous prime is 470451343421069. The next prime is 470451343421117. The reversal of 470451343421088 is 880124343154074.

470451343421088 is a `hidden beast` number, since 4 + 7 + 0 + 4 + 5 + 1 + 343 + 4 + 210 + 88 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 163623290907024 + 306828052514064 = 12791532^2 + 17516508^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59446528 + ... + 66893888.

Almost surely, 2^{470451343421088} is an apocalyptic number.

470451343421088 is a gapful number since it is divisible by the number (48) 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 470451343421088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671798955885876).

470451343421088 is an abundant number, since it is smaller than the sum of its proper divisors (873146568350664).

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

470451343421088 is a wasteful number, since it uses less digits than its factorization.

470451343421088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7448319 (or 7448308 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 470451343421088 in words is "four hundred seventy trillion, four hundred fifty-one billion, three hundred forty-three million, four hundred twenty-one thousand, eighty-eight".