468942131496960 has 3840 divisors, whose sum is σ = 1963177751808000. Its totient is φ = 105982525440000.

The previous prime is 468942131496863. The next prime is 468942131497003. The reversal of 468942131496960 is 69694131249864.

It is a happy number.

468942131496960 is a `hidden beast` number, since 4 + 6 + 8 + 9 + 42 + 1 + 3 + 1 + 496 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4642991400910 + ... + 4642991401010.

It is an arithmetic number, because the mean of its divisors is an integer number (511244206200).

Almost surely, 2^{468942131496960} is an apocalyptic number.

468942131496960 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 468942131496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981588875904000).

468942131496960 is an abundant number, since it is smaller than the sum of its proper divisors (1494235620311040).

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

468942131496960 is a wasteful number, since it uses less digits than its factorization.

468942131496960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 483729408, while the sum is 72.

The spelling of 468942131496960 in words is "four hundred sixty-eight trillion, nine hundred forty-two billion, one hundred thirty-one million, four hundred ninety-six thousand, nine hundred sixty".