468101764368 has 500 divisors, whose sum is σ = 1673693574300. Its totient is φ = 125861879808.

The previous prime is 468101764367. The next prime is 468101764381. The reversal of 468101764368 is 863467101864.

468101764368 is a `hidden beast` number, since 468 + 1 + 0 + 176 + 4 + 3 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 133333061904 + 334768702464 = 365148^2 + 578592^2 .

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

It is not an unprimeable number, because it can be changed into a prime (468101764367) 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 99 ways as a sum of consecutive naturals, for example, 52894408 + ... + 52903256.

Almost surely, 2^468101764368 is an apocalyptic number.

468101764368 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 468101764368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836846787150).

468101764368 is an abundant number, since it is smaller than the sum of its proper divisors (1205591809932).

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

468101764368 is an equidigital number, since it uses as much as digits as its factorization.

468101764368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8914 (or 8878 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 468101764368 in words is "four hundred sixty-eight billion, one hundred one million, seven hundred sixty-four thousand, three hundred sixty-eight".