395513671644 has 288 divisors, whose sum is σ = 1245358033920. Its totient is φ = 103056758784.

The previous prime is 395513671591. The next prime is 395513671661. The reversal of 395513671644 is 446176315593.

395513671644 is a `hidden beast` number, since 3 + 9 + 5 + 513 + 67 + 1 + 64 + 4 = 666.

It is a super-3 number, since 3×395513671644³ (a number of 36 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 128453697 + ... + 128456775.

It is an arithmetic number, because the mean of its divisors is an integer number (4324159840).

Almost surely, 2^395513671644 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 395513671644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622679016960).

395513671644 is an abundant number, since it is smaller than the sum of its proper divisors (849844362276).

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

395513671644 is a wasteful number, since it uses less digits than its factorization.

395513671644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3569 (or 3564 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The spelling of 395513671644 in words is "three hundred ninety-five billion, five hundred thirteen million, six hundred seventy-one thousand, six hundred forty-four".