468246884620608 has 336 divisors, whose sum is σ = 1445763487334400. Its totient is φ = 144471429780480.

The previous prime is 468246884620607. The next prime is 468246884620609. The reversal of 468246884620608 is 806026488642864.

468246884620608 is a `hidden beast` number, since 4 + 6 + 8 + 2 + 4 + 6 + 8 + 8 + 4 + 6 + 2 + 0 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (468246884620607) and next prime (468246884620609).

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468246884620607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11753459953 + ... + 11753499791.

Almost surely, 2^{468246884620608} is an apocalyptic number.

468246884620608 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 468246884620608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722881743667200).

468246884620608 is an abundant number, since it is smaller than the sum of its proper divisors (977516602713792).

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

468246884620608 is a wasteful number, since it uses less digits than its factorization.

468246884620608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68530 (or 68517 counting only the distinct ones).

The product of its (nonzero) digits is 1358954496, while the sum is 72.

It can be divided in two parts, 46824688 and 4620608, that added together give a triangular number (51445296 = T₁₀₁₄₃).

The spelling of 468246884620608 in words is "four hundred sixty-eight trillion, two hundred forty-six billion, eight hundred eighty-four million, six hundred twenty thousand, six hundred eight".