464667706471122 has 384 divisors, whose sum is σ = 1367485132953600. Its totient is φ = 115434256291200.

The previous prime is 464667706471093. The next prime is 464667706471159. The reversal of 464667706471122 is 221174607766464.

464667706471122 is a `hidden beast` number, since 4 + 6 + 466 + 7 + 7 + 0 + 6 + 47 + 1 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 464667706471122.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8582837529 + ... + 8582891667.

It is an arithmetic number, because the mean of its divisors is an integer number (3561159200400).

Almost surely, 2^{464667706471122} is an apocalyptic number.

464667706471122 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 464667706471122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683742566476800).

464667706471122 is an abundant number, since it is smaller than the sum of its proper divisors (902817426482478).

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

464667706471122 is a wasteful number, since it uses less digits than its factorization.

464667706471122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67019 (or 67006 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 63.

The spelling of 464667706471122 in words is "four hundred sixty-four trillion, six hundred sixty-seven billion, seven hundred six million, four hundred seventy-one thousand, one hundred twenty-two".