470113121856 has 224 divisors, whose sum is σ = 1481415782400. Its totient is φ = 131459338752.

The previous prime is 470113121851. The next prime is 470113121893. The reversal of 470113121856 is 658121311074.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×470113121856³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (470113121851) 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, 3019291 + ... + 3171173.

Almost surely, 2^470113121856 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 470113121856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740707891200).

470113121856 is an abundant number, since it is smaller than the sum of its proper divisors (1011302660544).

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

470113121856 is a wasteful number, since it uses less digits than its factorization.

470113121856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151966 (or 151942 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 470113121856 in words is "four hundred seventy billion, one hundred thirteen million, one hundred twenty-one thousand, eight hundred fifty-six".