185345153064 has 96 divisors (see below), whose sum is σ = 528668400000. Its totient is φ = 58499905536.

The previous prime is 185345153051. The next prime is 185345153087. The reversal of 185345153064 is 460351543581.

185345153064 is a `hidden beast` number, since 1 + 8 + 5 + 3 + 4 + 51 + 530 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2700744 + ... + 2768520.

It is an arithmetic number, because the mean of its divisors is an integer number (5506962500).

Almost surely, 2^185345153064 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 185345153064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264334200000).

185345153064 is an abundant number, since it is smaller than the sum of its proper divisors (343323246936).

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

185345153064 is a wasteful number, since it uses less digits than its factorization.

185345153064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69807 (or 69800 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 185345153064 in words is "one hundred eighty-five billion, three hundred forty-five million, one hundred fifty-three thousand, sixty-four".