461346911625600 has 7776 divisors, whose sum is σ = 2370142290637800. Its totient is φ = 87277923532800.

The previous prime is 461346911625599. The next prime is 461346911625641. The reversal of 461346911625600 is 6526119643164.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

461346911625600 is a `hidden beast` number, since 4 + 6 + 1 + 3 + 4 + 6 + 9 + 1 + 1 + 6 + 25 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 971 ways as a sum of consecutive naturals, for example, 6319820707164 + ... + 6319820707236.

Almost surely, 2^{461346911625600} is an apocalyptic number.

461346911625600 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 461346911625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185071145318900).

461346911625600 is an abundant number, since it is smaller than the sum of its proper divisors (1908795379012200).

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

461346911625600 is a wasteful number, since it uses less digits than its factorization.

461346911625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

461346911625600 divided by its sum of digits (54) gives a square (8543461326400 = 2922920²).

The spelling of 461346911625600 in words is "four hundred sixty-one trillion, three hundred forty-six billion, nine hundred eleven million, six hundred twenty-five thousand, six hundred".