470116440701544 has 256 divisors, whose sum is σ = 1447827233287680. Its totient is φ = 123874083717120.

The previous prime is 470116440701543. The next prime is 470116440701561. The reversal of 470116440701544 is 445107044611074.

It is a junction number, because it is equal to n+sod(n) for n = 470116440701493 and 470116440701502.

It is not an unprimeable number, because it can be changed into a prime (470116440701543) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11176994274 + ... + 11177036334.

It is an arithmetic number, because the mean of its divisors is an integer number (5655575130030).

Almost surely, 2^{470116440701544} 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 470116440701544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723913616643840).

470116440701544 is an abundant number, since it is smaller than the sum of its proper divisors (977710792586136).

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

470116440701544 is a wasteful number, since it uses less digits than its factorization.

470116440701544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46620 (or 46616 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 48.

The spelling of 470116440701544 in words is "four hundred seventy trillion, one hundred sixteen billion, four hundred forty million, seven hundred one thousand, five hundred forty-four".