997185982464 has 351 divisors, whose sum is σ = 3355194250083. Its totient is φ = 284526821376.

The previous prime is 997185982451. The next prime is 997185982477. The reversal of 997185982464 is 464289581799.

The square root of 997185982464 is 998592.

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

997185982464 is a `hidden beast` number, since 9 + 9 + 7 + 1 + 8 + 598 + 24 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (997185982451) and next prime (997185982477).

It is a super-2 number, since 2×997185982464² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 997185982392 and 997185982401.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1342107277 + ... + 1342108019.

Almost surely, 2^997185982464 is an apocalyptic number.

997185982464 is the 998592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997185982464

997185982464 is an abundant number, since it is smaller than the sum of its proper divisors (2358008267619).

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

997185982464 is an frugal number, since it uses more digits than its factorization.

997185982464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 755 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 72.

It can be divided in two parts, 997185 and 982464, that added together give a square (1979649 = 1407²).

The spelling of 997185982464 in words is "nine hundred ninety-seven billion, one hundred eighty-five million, nine hundred eighty-two thousand, four hundred sixty-four".