463315046205726 has 384 divisors, whose sum is σ = 1231360710967296. Its totient is φ = 128716256148480.

The previous prime is 463315046205619. The next prime is 463315046205733. The reversal of 463315046205726 is 627502640513364.

463315046205726 is a `hidden beast` number, since 4 + 6 + 3 + 3 + 1 + 5 + 0 + 4 + 62 + 0 + 572 + 6 = 666.

It is a super-2 number, since 2×463315046205726² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28729144675 + ... + 28729160801.

It is an arithmetic number, because the mean of its divisors is an integer number (3206668518144).

Almost surely, 2^{463315046205726} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463315046205726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615680355483648).

463315046205726 is an abundant number, since it is smaller than the sum of its proper divisors (768045664761570).

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

463315046205726 is a wasteful number, since it uses less digits than its factorization.

463315046205726 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18958 (or 18946 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 463315046205726 in words is "four hundred sixty-three trillion, three hundred fifteen billion, forty-six million, two hundred five thousand, seven hundred twenty-six".