463723051248 has 240 divisors, whose sum is σ = 1421841322720. Its totient is φ = 144670924800.

The previous prime is 463723051237. The next prime is 463723051271. The reversal of 463723051248 is 842150327364.

463723051248 is a `hidden beast` number, since 4 + 6 + 372 + 30 + 5 + 1 + 248 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22587228 + ... + 22607748.

Almost surely, 2^463723051248 is an apocalyptic number.

463723051248 is a gapful number since it is divisible by the number (48) 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 463723051248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710920661360).

463723051248 is an abundant number, since it is smaller than the sum of its proper divisors (958118271472).

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

463723051248 is a wasteful number, since it uses less digits than its factorization.

463723051248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20753 (or 20724 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 463723051248 in words is "four hundred sixty-three billion, seven hundred twenty-three million, fifty-one thousand, two hundred forty-eight".