461774980000 has 120 divisors (see below), whose sum is σ = 1138292707860. Its totient is φ = 184343040000.

The previous prime is 461774979997. The next prime is 461774980013. The reversal of 461774980000 is 89477164.

It can be written as a sum of positive squares in 10 ways, for example, as 94989705616 + 366785274384 = 308204^2 + 605628^2 .

It is a super-2 number, since 2×461774980000² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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, 10157320 + ... + 10202680.

Almost surely, 2^461774980000 is an apocalyptic number.

461774980000 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 461774980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569146353930).

461774980000 is an abundant number, since it is smaller than the sum of its proper divisors (676517727860).

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

461774980000 is an equidigital number, since it uses as much as digits as its factorization.

461774980000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45900 (or 45877 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The spelling of 461774980000 in words is "four hundred sixty-one billion, seven hundred seventy-four million, nine hundred eighty thousand".