461675241392904 has 576 divisors, whose sum is σ = 1732114977465600. Its totient is φ = 113604292368000.

The previous prime is 461675241392887. The next prime is 461675241392951. The reversal of 461675241392904 is 409293142576164.

461675241392904 is a `hidden beast` number, since 4 + 6 + 1 + 6 + 7 + 524 + 13 + 9 + 2 + 90 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8313579 + ... + 31503429.

It is an arithmetic number, because the mean of its divisors is an integer number (3007144058100).

Almost surely, 2^{461675241392904} is an apocalyptic number.

461675241392904 is a gapful number since it is divisible by the number (44) 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 461675241392904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866057488732800).

461675241392904 is an abundant number, since it is smaller than the sum of its proper divisors (1270439736072696).

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

461675241392904 is a wasteful number, since it uses less digits than its factorization.

461675241392904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23189916 (or 23189893 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 461675241392904 in words is "four hundred sixty-one trillion, six hundred seventy-five billion, two hundred forty-one million, three hundred ninety-two thousand, nine hundred four".