466861951431954 has 384 divisors, whose sum is σ = 1167683504315328. Its totient is φ = 133806362296320.

The previous prime is 466861951431901. The next prime is 466861951431983. The reversal of 466861951431954 is 459134159168664.

466861951431954 is a `hidden beast` number, since 4 + 6 + 6 + 8 + 6 + 19 + 514 + 3 + 1 + 95 + 4 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 41548707225 + 466820402724729 = 203835^2 + 21606027^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5104892892 + ... + 5104984344.

Almost surely, 2^{466861951431954} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466861951431954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583841752157664).

466861951431954 is an abundant number, since it is smaller than the sum of its proper divisors (700821552883374).

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

466861951431954 is a wasteful number, since it uses less digits than its factorization.

466861951431954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91822 (or 91819 counting only the distinct ones).

The product of its digits is 671846400, while the sum is 72.

The spelling of 466861951431954 in words is "four hundred sixty-six trillion, eight hundred sixty-one billion, nine hundred fifty-one million, four hundred thirty-one thousand, nine hundred fifty-four".