463435135128 has 512 divisors, whose sum is σ = 1559907532800. Its totient is φ = 124692825600.

The previous prime is 463435135127. The next prime is 463435135153. The reversal of 463435135128 is 821531534364.

463435135128 is a `hidden beast` number, since 4 + 6 + 3 + 4 + 3 + 513 + 5 + 128 = 666.

It is a super-2 number, since 2×463435135128² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463435135127) 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, 464829126 + ... + 464830122.

It is an arithmetic number, because the mean of its divisors is an integer number (3046694400).

Almost surely, 2^463435135128 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 463435135128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779953766400).

463435135128 is an abundant number, since it is smaller than the sum of its proper divisors (1096472397672).

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

463435135128 is a wasteful number, since it uses less digits than its factorization.

463435135128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1298 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 463435135128 in words is "four hundred sixty-three billion, four hundred thirty-five million, one hundred thirty-five thousand, one hundred twenty-eight".