463171141310020 has 384 divisors, whose sum is σ = 1159868666880000. Its totient is φ = 153153769420800.

The previous prime is 463171141310011. The next prime is 463171141310021. The reversal of 463171141310020 is 20013141171364.

It is a super-2 number, since 2×463171141310020² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (463171141310021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42156282967 + ... + 42156293953.

It is an arithmetic number, because the mean of its divisors is an integer number (3020491320000).

Almost surely, 2^{463171141310020} 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 463171141310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579934333440000).

463171141310020 is an abundant number, since it is smaller than the sum of its proper divisors (696697525569980).

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

463171141310020 is a wasteful number, since it uses less digits than its factorization.

463171141310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11899 (or 11897 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

Adding to 463171141310020 its reverse (20013141171364), we get a palindrome (483184282481384).

The spelling of 463171141310020 in words is "four hundred sixty-three trillion, one hundred seventy-one billion, one hundred forty-one million, three hundred ten thousand, twenty".