395954018541312 has 864 divisors, whose sum is σ = 1360293333374976. Its totient is φ = 100013052395520.

The previous prime is 395954018541287. The next prime is 395954018541317. The reversal of 395954018541312 is 213145810459593.

It is a super-4 number, since 4×395954018541312⁴ (a number of 59 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395954018541317) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68185638313 + ... + 68185644119.

Almost surely, 2^{395954018541312} is an apocalyptic number.

395954018541312 is a gapful number since it is divisible by the number (32) 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 395954018541312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680146666687488).

395954018541312 is an abundant number, since it is smaller than the sum of its proper divisors (964339314833664).

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

395954018541312 is a wasteful number, since it uses less digits than its factorization.

395954018541312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8725 (or 8700 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 60.

The spelling of 395954018541312 in words is "three hundred ninety-five trillion, nine hundred fifty-four billion, eighteen million, five hundred forty-one thousand, three hundred twelve".