466778023488 has 336 divisors, whose sum is σ = 1616011195200. Its totient is φ = 133363190016.

The previous prime is 466778023487. The next prime is 466778023499. The reversal of 466778023488 is 884320877664.

466778023488 is a `hidden beast` number, since 4 + 6 + 6 + 77 + 80 + 2 + 3 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×466778023488² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (466778023483) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6824403 + ... + 6892461.

Almost surely, 2^466778023488 is an apocalyptic number.

466778023488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466778023488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808005597600).

466778023488 is an abundant number, since it is smaller than the sum of its proper divisors (1149233171712).

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

466778023488 is an frugal number, since it uses more digits than its factorization.

466778023488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68106 (or 68071 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 466778023488 in words is "four hundred sixty-six billion, seven hundred seventy-eight million, twenty-three thousand, four hundred eighty-eight".