463050151536 has 320 divisors, whose sum is σ = 1479605584896. Its totient is φ = 121772851200.

The previous prime is 463050151523. The next prime is 463050151537. The reversal of 463050151536 is 635151050364.

It is a junction number, because it is equal to n+sod(n) for n = 463050151494 and 463050151503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463050151537) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100203306 + ... + 100207926.

Almost surely, 2^463050151536 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 463050151536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739802792448).

463050151536 is an abundant number, since it is smaller than the sum of its proper divisors (1016555433360).

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

463050151536 is a wasteful number, since it uses less digits than its factorization.

463050151536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5040 (or 5034 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 39.

The spelling of 463050151536 in words is "four hundred sixty-three billion, fifty million, one hundred fifty-one thousand, five hundred thirty-six".