997953048576 has 585 divisors, whose sum is σ = 3246322197495. Its totient is φ = 295377223680.

The previous prime is 997953048571. The next prime is 997953048577. The reversal of 997953048576 is 675840359799.

The square root of 997953048576 is 998976.

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

997953048576 is a `hidden beast` number, since 9 + 9 + 7 + 9 + 5 + 3 + 0 + 48 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (997953048571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 23208210411 + ... + 23208210453.

Almost surely, 2^997953048576 is an apocalyptic number.

997953048576 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

997953048576 is the 998976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997953048576

997953048576 is an abundant number, since it is smaller than the sum of its proper divisors (2248369148919).

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

997953048576 is an frugal number, since it uses more digits than its factorization.

997953048576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 514382400, while the sum is 72.

The spelling of 997953048576 in words is "nine hundred ninety-seven billion, nine hundred fifty-three million, forty-eight thousand, five hundred seventy-six".