467166782016 has 315 divisors, whose sum is σ = 1523932927363. Its totient is φ = 141401652480.

The previous prime is 467166781999. The next prime is 467166782021. The reversal of 467166782016 is 610287661764.

The square root of 467166782016 is 683496.

It is a perfect power (a square), and thus also a powerful number.

467166782016 is a `hidden beast` number, since 467 + 166 + 7 + 8 + 2 + 0 + 16 = 666.

It is a super-3 number, since 3×467166782016³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 44 ways as a sum of consecutive naturals, for example, 541328401 + ... + 541329263.

Almost surely, 2^467166782016 is an apocalyptic number.

467166782016 is the 683496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 467166782016

467166782016 is an abundant number, since it is smaller than the sum of its proper divisors (1056766145347).

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

467166782016 is an frugal number, since it uses more digits than its factorization.

467166782016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 467166782016 in words is "four hundred sixty-seven billion, one hundred sixty-six million, seven hundred eighty-two thousand, sixteen".