185404001328 has 400 divisors, whose sum is σ = 689171890176. Its totient is φ = 46771084800.

The previous prime is 185404001317. The next prime is 185404001371. The reversal of 185404001328 is 823100404581.

185404001328 is a `hidden beast` number, since 1 + 85 + 40 + 400 + 132 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 185404001292 and 185404001301.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2678353 + ... + 2746703.

Almost surely, 2^185404001328 is an apocalyptic number.

185404001328 is a gapful number since it is divisible by the number (18) 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 185404001328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344585945088).

185404001328 is an abundant number, since it is smaller than the sum of its proper divisors (503767888848).

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

185404001328 is a wasteful number, since it uses less digits than its factorization.

185404001328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68414 (or 68399 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 185404001328 in words is "one hundred eighty-five billion, four hundred four million, one thousand, three hundred twenty-eight".