461518848000 has 1440 divisors, whose sum is σ = 1966963689600. Its totient is φ = 104044953600.

The previous prime is 461518847953. The next prime is 461518848101. The reversal of 461518848000 is 848815164.

461518848000 is a `hidden beast` number, since 46 + 1 + 51 + 88 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6322175964 + ... + 6322176036.

Almost surely, 2^461518848000 is an apocalyptic number.

461518848000 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 461518848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983481844800).

461518848000 is an abundant number, since it is smaller than the sum of its proper divisors (1505444841600).

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

461518848000 is an frugal number, since it uses more digits than its factorization.

461518848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 461518848000 in words is "four hundred sixty-one billion, five hundred eighteen million, eight hundred forty-eight thousand".