395360497152 has 200 divisors, whose sum is σ = 1185665863272. Its totient is φ = 131159347200.

The previous prime is 395360497121. The next prime is 395360497183. The reversal of 395360497152 is 251794063593.

395360497152 is a `hidden beast` number, since 3 + 9 + 536 + 0 + 4 + 97 + 15 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (395360497121) and next prime (395360497183).

It is a super-2 number, since 2×395360497152² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8728002 + ... + 8773182.

Almost surely, 2^395360497152 is an apocalyptic number.

395360497152 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 395360497152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592832931636).

395360497152 is an abundant number, since it is smaller than the sum of its proper divisors (790305366120).

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

395360497152 is an equidigital number, since it uses as much as digits as its factorization.

395360497152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45422 (or 45397 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 395360497152 in words is "three hundred ninety-five billion, three hundred sixty million, four hundred ninety-seven thousand, one hundred fifty-two".