468664426944 has 336 divisors, whose sum is σ = 1574177200128. Its totient is φ = 130531590144.

The previous prime is 468664426943. The next prime is 468664427009. The reversal of 468664426944 is 449624466864.

468664426944 is a `hidden beast` number, since 4 + 68 + 6 + 64 + 426 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468664426943) 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, 48697717 + ... + 48707339.

Almost surely, 2^468664426944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468664426944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787088600064).

468664426944 is an abundant number, since it is smaller than the sum of its proper divisors (1105512773184).

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

468664426944 is a wasteful number, since it uses less digits than its factorization.

468664426944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9952 (or 9939 counting only the distinct ones).

The product of its digits is 191102976, while the sum is 63.

The spelling of 468664426944 in words is "four hundred sixty-eight billion, six hundred sixty-four million, four hundred twenty-six thousand, nine hundred forty-four".