470348544096 has 192 divisors, whose sum is σ = 1398938869440. Its totient is φ = 153692098560.

The previous prime is 470348544091. The next prime is 470348544137. The reversal of 470348544096 is 690445843074.

470348544096 is a `hidden beast` number, since 4 + 7 + 0 + 3 + 4 + 8 + 544 + 0 + 96 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470348544091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62868676 + ... + 62876156.

It is an arithmetic number, because the mean of its divisors is an integer number (7286139945).

Almost surely, 2^470348544096 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 470348544096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699469434720).

470348544096 is an abundant number, since it is smaller than the sum of its proper divisors (928590325344).

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

470348544096 is a wasteful number, since it uses less digits than its factorization.

470348544096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8926 (or 8912 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 470348544096 in words is "four hundred seventy billion, three hundred forty-eight million, five hundred forty-four thousand, ninety-six".