467638210116 has 720 divisors, whose sum is σ = 1640688817152. Its totient is φ = 113415603840.

The previous prime is 467638210033. The next prime is 467638210177. The reversal of 467638210116 is 611012836764.

467638210116 is a `hidden beast` number, since 4 + 6 + 7 + 638 + 2 + 1 + 0 + 1 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 271408431 + ... + 271410153.

Almost surely, 2^467638210116 is an apocalyptic number.

467638210116 is a gapful number since it is divisible by the number (46) 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 467638210116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820344408576).

467638210116 is an abundant number, since it is smaller than the sum of its proper divisors (1173050607036).

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

467638210116 is a wasteful number, since it uses less digits than its factorization.

467638210116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 467638210116 in words is "four hundred sixty-seven billion, six hundred thirty-eight million, two hundred ten thousand, one hundred sixteen".