10305461604672 has 224 divisors, whose sum is σ = 33679095618560. Its totient is φ = 3068623595520.

The previous prime is 10305461604653. The next prime is 10305461604673. The reversal of 10305461604672 is 27640616450301.

10305461604672 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 546 + 1 + 60 + 46 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10305461604673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6702883 + ... + 8095650.

It is an arithmetic number, because the mean of its divisors is an integer number (150353105440).

Almost surely, 2^{10305461604672} is an apocalyptic number.

10305461604672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10305461604672 is an abundant number, since it is smaller than the sum of its proper divisors (23373634013888).

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

10305461604672 is a wasteful number, since it uses less digits than its factorization.

10305461604672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14798598 (or 14798582 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 10305461604672 in words is "ten trillion, three hundred five billion, four hundred sixty-one million, six hundred four thousand, six hundred seventy-two".