470346700161312 has 288 divisors, whose sum is σ = 1491044393180160. Its totient is φ = 139663474145280.

The previous prime is 470346700161301. The next prime is 470346700161323. The reversal of 470346700161312 is 213161007643074.

470346700161312 is a `hidden beast` number, since 4 + 70 + 3 + 46 + 70 + 0 + 161 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (470346700161301) and next prime (470346700161323).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×470346700161312² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36022858 + ... + 47311094.

It is an arithmetic number, because the mean of its divisors is an integer number (5177237476320).

Almost surely, 2^{470346700161312} 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 470346700161312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745522196590080).

470346700161312 is an abundant number, since it is smaller than the sum of its proper divisors (1020697693018848).

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

470346700161312 is a wasteful number, since it uses less digits than its factorization.

470346700161312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11288656 (or 11288645 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 470346700161312 in words is "four hundred seventy trillion, three hundred forty-six billion, seven hundred million, one hundred sixty-one thousand, three hundred twelve".