465663476664100 has 288 divisors, whose sum is σ = 1228133601668736. Its totient is φ = 150972006297600.

The previous prime is 465663476664011. The next prime is 465663476664131. The reversal of 465663476664100 is 1466674366564.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69274639 + ... + 75698761.

It is an arithmetic number, because the mean of its divisors is an integer number (4264352783572).

Almost surely, 2^{465663476664100} 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 465663476664100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614066800834368).

465663476664100 is an abundant number, since it is smaller than the sum of its proper divisors (762470125004636).

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

465663476664100 is a wasteful number, since it uses less digits than its factorization.

465663476664100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6424335 (or 6424328 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 64.

The spelling of 465663476664100 in words is "four hundred sixty-five trillion, six hundred sixty-three billion, four hundred seventy-six million, six hundred sixty-four thousand, one hundred".