463215423231000 has 768 divisors, whose sum is σ = 1755665519137920. Its totient is φ = 109166123520000.

The previous prime is 463215423230993. The next prime is 463215423231007. The reversal of 463215423231000 is 132324512364.

463215423231000 is a `hidden beast` number, since 4 + 6 + 3 + 2 + 1 + 542 + 3 + 2 + 3 + 100 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (463215423230993) and next prime (463215423231007).

It is a super-2 number, since 2×463215423231000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463215423231007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4325949462 + ... + 4326056538.

Almost surely, 2^{463215423231000} is an apocalyptic number.

463215423231000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463215423231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877832759568960).

463215423231000 is an abundant number, since it is smaller than the sum of its proper divisors (1292450095906920).

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

463215423231000 is a wasteful number, since it uses less digits than its factorization.

463215423231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108333 (or 108316 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 463215423231000 its reverse (132324512364), we get a palindrome (463347747743364).

The spelling of 463215423231000 in words is "four hundred sixty-three trillion, two hundred fifteen billion, four hundred twenty-three million, two hundred thirty-one thousand".