468113618880 has 280 divisors, whose sum is σ = 1666869800112. Its totient is φ = 124702322688.

The previous prime is 468113618879. The next prime is 468113618911. The reversal of 468113618880 is 88816311864.

It is a happy number.

468113618880 is a `hidden beast` number, since 4 + 6 + 8 + 1 + 13 + 618 + 8 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26766619 + ... + 26784101.

Almost surely, 2^468113618880 is an apocalyptic number.

468113618880 is a gapful number since it is divisible by the number (40) 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 468113618880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833434900056).

468113618880 is an abundant number, since it is smaller than the sum of its proper divisors (1198756181232).

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

468113618880 is a wasteful number, since it uses less digits than its factorization.

468113618880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18545 (or 18526 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 468113618880 in words is "four hundred sixty-eight billion, one hundred thirteen million, six hundred eighteen thousand, eight hundred eighty".