185461325472 has 96 divisors (see below), whose sum is σ = 500310300672. Its totient is φ = 60111535104.

The previous prime is 185461325383. The next prime is 185461325507. The reversal of 185461325472 is 274523164581.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×185461325472² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5891278 + ... + 5922674.

It is an arithmetic number, because the mean of its divisors is an integer number (5211565632).

Almost surely, 2^185461325472 is an apocalyptic number.

185461325472 is a gapful number since it is divisible by the number (12) 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 185461325472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250155150336).

185461325472 is an abundant number, since it is smaller than the sum of its proper divisors (314848975200).

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

185461325472 is a wasteful number, since it uses less digits than its factorization.

185461325472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33110 (or 33102 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 48.

The spelling of 185461325472 in words is "one hundred eighty-five billion, four hundred sixty-one million, three hundred twenty-five thousand, four hundred seventy-two".