461422454021100 has 576 divisors, whose sum is σ = 1834443463104000. Its totient is φ = 97820879385600.

The previous prime is 461422454021027. The next prime is 461422454021101. The reversal of 461422454021100 is 1120454224164.

461422454021100 is a `hidden beast` number, since 4 + 6 + 1 + 4 + 2 + 2 + 4 + 540 + 2 + 1 + 100 = 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 (461422454021101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24113715 + ... + 38785514.

It is an arithmetic number, because the mean of its divisors is an integer number (3184797679000).

Almost surely, 2^{461422454021100} is an apocalyptic number.

It is an amenable number.

461422454021100 is an abundant number, since it is smaller than the sum of its proper divisors (1373021009082900).

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

461422454021100 is a wasteful number, since it uses less digits than its factorization.

461422454021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62899295 (or 62899282 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 461422454021100 in words is "four hundred sixty-one trillion, four hundred twenty-two billion, four hundred fifty-four million, twenty-one thousand, one hundred".