46721567466 has 384 divisors, whose sum is σ = 130427781120. Its totient is φ = 11786342400.

The previous prime is 46721567419. The next prime is 46721567471. The reversal of 46721567466 is 66476512764.

46721567466 is a `hidden beast` number, since 4 + 6 + 72 + 1 + 567 + 4 + 6 + 6 = 666.

It is a super-2 number, since 2×46721567466² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 367886295 + ... + 367886421.

It is an arithmetic number, because the mean of its divisors is an integer number (339655680).

Almost surely, 2^46721567466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46721567466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65213890560).

46721567466 is an abundant number, since it is smaller than the sum of its proper divisors (83706213654).

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

46721567466 is a wasteful number, since it uses less digits than its factorization.

46721567466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 327 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 46721567466 in words is "forty-six billion, seven hundred twenty-one million, five hundred sixty-seven thousand, four hundred sixty-six".