397545382144 has 81 divisors (see below), whose sum is σ = 801818874381. Its totient is φ = 196719744000.

The previous prime is 397545382103. The next prime is 397545382147. The reversal of 397545382144 is 441283545793.

The square root of 397545382144 is 630512.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 116526649600 + 281018732544 = 341360^2 + 530112^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (397545382147) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1583846019 + ... + 1583846269.

Almost surely, 2^397545382144 is an apocalyptic number.

397545382144 is the 630512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 397545382144

397545382144 is an abundant number, since it is smaller than the sum of its proper divisors (404273492237).

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

397545382144 is an frugal number, since it uses more digits than its factorization.

397545382144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 410 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 55.

It can be divided in two parts, 397545 and 382144, that added together give a square (779689 = 883²).

The spelling of 397545382144 in words is "three hundred ninety-seven billion, five hundred forty-five million, three hundred eighty-two thousand, one hundred forty-four".