460125076651968 has 448 divisors, whose sum is σ = 1628094861639680. Its totient is φ = 111256196198400.

The previous prime is 460125076651927. The next prime is 460125076651991. The reversal of 460125076651968 is 869156670521064.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 460125076651899 and 460125076651908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12064678 + ... + 32646693.

It is an arithmetic number, because the mean of its divisors is an integer number (3634140316160).

Almost surely, 2^{460125076651968} is an apocalyptic number.

460125076651968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

460125076651968 is an abundant number, since it is smaller than the sum of its proper divisors (1167969784987712).

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

460125076651968 is a wasteful number, since it uses less digits than its factorization.

460125076651968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44711456 (or 44711446 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 66.

The spelling of 460125076651968 in words is "four hundred sixty trillion, one hundred twenty-five billion, seventy-six million, six hundred fifty-one thousand, nine hundred sixty-eight".