470467191168 has 768 divisors, whose sum is σ = 1595709460800. Its totient is φ = 136949170176.

The previous prime is 470467191163. The next prime is 470467191251. The reversal of 470467191168 is 861191764074.

470467191168 is a `hidden beast` number, since 4 + 7 + 0 + 467 + 19 + 1 + 168 = 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 (470467191163) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 621488646 + ... + 621489402.

Almost surely, 2^470467191168 is an apocalyptic number.

470467191168 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 470467191168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797854730400).

470467191168 is an abundant number, since it is smaller than the sum of its proper divisors (1125242269632).

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

470467191168 is a wasteful number, since it uses less digits than its factorization.

470467191168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 470467191168 in words is "four hundred seventy billion, four hundred sixty-seven million, one hundred ninety-one thousand, one hundred sixty-eight".