463506207011700 has 288 divisors, whose sum is σ = 1389985083260928. Its totient is φ = 119158348608000.

The previous prime is 463506207011699. The next prime is 463506207011717. The reversal of 463506207011700 is 7110702605364.

It is a happy number.

It is a congruent number.

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, 940556365 + ... + 941049035.

It is an arithmetic number, because the mean of its divisors is an integer number (4826337094656).

Almost surely, 2^{463506207011700} 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 463506207011700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694992541630464).

463506207011700 is an abundant number, since it is smaller than the sum of its proper divisors (926478876249228).

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

463506207011700 is a wasteful number, since it uses less digits than its factorization.

463506207011700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493503 (or 493496 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 463506207011700 in words is "four hundred sixty-three trillion, five hundred six billion, two hundred seven million, eleven thousand, seven hundred".