468102883776 has 224 divisors, whose sum is σ = 1366415571456. Its totient is φ = 140247552000.

The previous prime is 468102883771. The next prime is 468102883817. The reversal of 468102883776 is 677388201864.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468102883771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178595746 + ... + 178598366.

Almost surely, 2^468102883776 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 468102883776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683207785728).

468102883776 is an abundant number, since it is smaller than the sum of its proper divisors (898312687680).

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

468102883776 is a wasteful number, since it uses less digits than its factorization.

468102883776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3571 (or 3561 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 60.

The spelling of 468102883776 in words is "four hundred sixty-eight billion, one hundred two million, eight hundred eighty-three thousand, seven hundred seventy-six".