461330106048 has 140 divisors (see below), whose sum is σ = 1562888072592. Its totient is φ = 131808591360.

The previous prime is 461330106047. The next prime is 461330106073. The reversal of 461330106048 is 840601033164.

It is a happy number.

461330106048 is a `hidden beast` number, since 4 + 6 + 1 + 3 + 30 + 10 + 604 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (461330106047) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 6320223 + ... + 6392798.

Almost surely, 2^461330106048 is an apocalyptic number.

461330106048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

461330106048 is an abundant number, since it is smaller than the sum of its proper divisors (1101557966544).

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

461330106048 is a wasteful number, since it uses less digits than its factorization.

461330106048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12713052 (or 12713033 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 461330106048 in words is "four hundred sixty-one billion, three hundred thirty million, one hundred six thousand, forty-eight".