466096011264 has 480 divisors, whose sum is σ = 1564638435360. Its totient is φ = 137164161024.

The previous prime is 466096011257. The next prime is 466096011307. The reversal of 466096011264 is 462110690664.

It is a happy number.

466096011264 is a `hidden beast` number, since 4 + 6 + 609 + 6 + 0 + 11 + 26 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49595814 + ... + 49605210.

It is an arithmetic number, because the mean of its divisors is an integer number (3259663407).

Almost surely, 2^466096011264 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 466096011264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782319217680).

466096011264 is an abundant number, since it is smaller than the sum of its proper divisors (1098542424096).

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

466096011264 is a wasteful number, since it uses less digits than its factorization.

466096011264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9467 (or 9438 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 466096011264 in words is "four hundred sixty-six billion, ninety-six million, eleven thousand, two hundred sixty-four".