470145745584 has 200 divisors, whose sum is σ = 1371683084640. Its totient is φ = 155457792000.

The previous prime is 470145745561. The next prime is 470145745603. The reversal of 470145745584 is 485547541074.

It is a happy number.

470145745584 is a `hidden beast` number, since 4 + 7 + 0 + 1 + 4 + 57 + 4 + 5 + 584 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 470145745584.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 197456074 + ... + 197458454.

Almost surely, 2^470145745584 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 470145745584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685841542320).

470145745584 is an abundant number, since it is smaller than the sum of its proper divisors (901537339056).

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

470145745584 is a wasteful number, since it uses less digits than its factorization.

470145745584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3561 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 12544000, while the sum is 54.

The spelling of 470145745584 in words is "four hundred seventy billion, one hundred forty-five million, seven hundred forty-five thousand, five hundred eighty-four".