997451256960 has 384 divisors, whose sum is σ = 3546624884400. Its totient is φ = 258124382208.

The previous prime is 997451256871. The next prime is 997451256973. The reversal of 997451256960 is 69652154799.

997451256960 is a `hidden beast` number, since 9 + 9 + 7 + 4 + 5 + 1 + 2 + 569 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 434555187264 + 562896069696 = 659208^2 + 750264^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×997451256960² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84602746 + ... + 84614534.

Almost surely, 2^997451256960 is an apocalyptic number.

997451256960 is a gapful number since it is divisible by the number (90) 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 997451256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773312442200).

997451256960 is an abundant number, since it is smaller than the sum of its proper divisors (2549173627440).

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

997451256960 is a wasteful number, since it uses less digits than its factorization.

997451256960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12248 (or 12233 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 997451256960 in words is "nine hundred ninety-seven billion, four hundred fifty-one million, two hundred fifty-six thousand, nine hundred sixty".