463225745059056 has 480 divisors, whose sum is σ = 1595189558476800. Its totient is φ = 122477724794880.

The previous prime is 463225745059009. The next prime is 463225745059087. The reversal of 463225745059056 is 650950547522364.

463225745059056 is a `hidden beast` number, since 4 + 6 + 3 + 2 + 2 + 5 + 74 + 505 + 9 + 0 + 56 = 666.

It is a super-2 number, since 2×463225745059056² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 463225745058984 and 463225745059002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 325542385 + ... + 326962223.

It is an arithmetic number, because the mean of its divisors is an integer number (3323311580160).

Almost surely, 2^{463225745059056} 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 463225745059056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797594779238400).

463225745059056 is an abundant number, since it is smaller than the sum of its proper divisors (1131963813417744).

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

463225745059056 is a wasteful number, since it uses less digits than its factorization.

463225745059056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420197 (or 1420188 counting only the distinct ones).

The product of its (nonzero) digits is 272160000, while the sum is 63.

The spelling of 463225745059056 in words is "four hundred sixty-three trillion, two hundred twenty-five billion, seven hundred forty-five million, fifty-nine thousand, fifty-six".