461617201152 has 192 divisors, whose sum is σ = 1382954696760. Its totient is φ = 153869746176.

The previous prime is 461617201141. The next prime is 461617201159. The reversal of 461617201152 is 251102716164.

461617201152 is a `hidden beast` number, since 4 + 6 + 1 + 617 + 20 + 1 + 15 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461617201159) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7933638 + ... + 7991610.

Almost surely, 2^461617201152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461617201152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691477348380).

461617201152 is an abundant number, since it is smaller than the sum of its proper divisors (921337495608).

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

461617201152 is an frugal number, since it uses more digits than its factorization.

461617201152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58018 (or 57978 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 461617201152 in words is "four hundred sixty-one billion, six hundred seventeen million, two hundred one thousand, one hundred fifty-two".