466934262643296 has 576 divisors, whose sum is σ = 1566452369664000. Its totient is φ = 129177033043968.

The previous prime is 466934262643291. The next prime is 466934262643297. The reversal of 466934262643296 is 692346262439664.

466934262643296 is a `hidden beast` number, since 4 + 6 + 6 + 9 + 3 + 42 + 62 + 6 + 432 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466934262643291) 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, 20570686155 + ... + 20570708853.

It is an arithmetic number, because the mean of its divisors is an integer number (2719535364000).

Almost surely, 2^{466934262643296} 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 466934262643296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783226184832000).

466934262643296 is an abundant number, since it is smaller than the sum of its proper divisors (1099518107020704).

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

466934262643296 is a wasteful number, since it uses less digits than its factorization.

466934262643296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25291 (or 25280 counting only the distinct ones).

The product of its digits is 2902376448, while the sum is 72.

The spelling of 466934262643296 in words is "four hundred sixty-six trillion, nine hundred thirty-four billion, two hundred sixty-two million, six hundred forty-three thousand, two hundred ninety-six".