466049342734976 has 1536 divisors, whose sum is σ = 1317027704509440. Its totient is φ = 161404379136000.

The previous prime is 466049342734967. The next prime is 466049342734979. The reversal of 466049342734976 is 679437243940664.

It is a super-3 number, since 3×466049342734976³ (a number of 45 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (466049342734979) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 574660101611 + ... + 574660102421.

It is an arithmetic number, because the mean of its divisors is an integer number (857439911790).

Almost surely, 2^{466049342734976} 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 466049342734976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658513852254720).

466049342734976 is an abundant number, since it is smaller than the sum of its proper divisors (850978361774464).

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

466049342734976 is a wasteful number, since it uses less digits than its factorization.

466049342734976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 3950456832, while the sum is 74.

The spelling of 466049342734976 in words is "four hundred sixty-six trillion, forty-nine billion, three hundred forty-two million, seven hundred thirty-four thousand, nine hundred seventy-six".