395073014161152 has 576 divisors, whose sum is σ = 1152704544768000. Its totient is φ = 119751421870080.

The previous prime is 395073014161141. The next prime is 395073014161157. The reversal of 395073014161152 is 251161410370593.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395073014161157) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 8608545118 + ... + 8608591010.

It is an arithmetic number, because the mean of its divisors is an integer number (2001223168000).

Almost surely, 2^{395073014161152} is an apocalyptic number.

395073014161152 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 395073014161152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576352272384000).

395073014161152 is an abundant number, since it is smaller than the sum of its proper divisors (757631530606848).

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

395073014161152 is a wasteful number, since it uses less digits than its factorization.

395073014161152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46244 (or 46230 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 48.

The spelling of 395073014161152 in words is "three hundred ninety-five trillion, seventy-three billion, fourteen million, one hundred sixty-one thousand, one hundred fifty-two".