466338522790944 has 288 divisors, whose sum is σ = 1427811809022144. Its totient is φ = 143854555299840.

The previous prime is 466338522790897. The next prime is 466338522791047. The reversal of 466338522790944 is 449097225833664.

It is a happy number.

466338522790944 is a `hidden beast` number, since 4 + 6 + 6 + 3 + 3 + 8 + 522 + 7 + 9 + 0 + 94 + 4 = 666.

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

It is a super-2 number, since 2×466338522790944² (a number of 30 digits) contains 22 as substring.

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

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, 83024272 + ... + 88463024.

It is an arithmetic number, because the mean of its divisors is an integer number (4957679892438).

Almost surely, 2^{466338522790944} 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 466338522790944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713905904511072).

466338522790944 is an abundant number, since it is smaller than the sum of its proper divisors (961473286231200).

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

466338522790944 is a wasteful number, since it uses less digits than its factorization.

466338522790944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5439080 (or 5439069 counting only the distinct ones).

The product of its (nonzero) digits is 1881169920, while the sum is 72.

The spelling of 466338522790944 in words is "four hundred sixty-six trillion, three hundred thirty-eight billion, five hundred twenty-two million, seven hundred ninety thousand, nine hundred forty-four".