461570545432000 has 224 divisors, whose sum is σ = 1209118030084224. Its totient is φ = 174181708800000.

The previous prime is 461570545431973. The next prime is 461570545432049. The reversal of 461570545432000 is 234545075164.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3749751 + ... + 30613750.

Almost surely, 2^{461570545432000} is an apocalyptic number.

461570545432000 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 461570545432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604559015042112).

461570545432000 is an abundant number, since it is smaller than the sum of its proper divisors (747547484652224).

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

461570545432000 is a wasteful number, since it uses less digits than its factorization.

461570545432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34363624 (or 34363604 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 46.

The spelling of 461570545432000 in words is "four hundred sixty-one trillion, five hundred seventy billion, five hundred forty-five million, four hundred thirty-two thousand".