463265346451320 has 384 divisors, whose sum is σ = 1796280407101440. Its totient is φ = 101242047329280.

The previous prime is 463265346451309. The next prime is 463265346451363. The reversal of 463265346451320 is 23154643562364.

463265346451320 is a `hidden beast` number, since 4 + 6 + 3 + 2 + 65 + 3 + 4 + 64 + 513 + 2 + 0 = 666.

It is a super-2 number, since 2×463265346451320² (a number of 30 digits) contains 22 as substring.

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, 133977217 + ... + 137391503.

It is an arithmetic number, because the mean of its divisors is an integer number (4677813560160).

Almost surely, 2^{463265346451320} is an apocalyptic number.

463265346451320 is a gapful number since it is divisible by the number (40) 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 463265346451320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898140203550720).

463265346451320 is an abundant number, since it is smaller than the sum of its proper divisors (1333015060650120).

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

463265346451320 is a wasteful number, since it uses less digits than its factorization.

463265346451320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3416675 (or 3416668 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 54.

The spelling of 463265346451320 in words is "four hundred sixty-three trillion, two hundred sixty-five billion, three hundred forty-six million, four hundred fifty-one thousand, three hundred twenty".