97382951664 has 80 divisors (see below), whose sum is σ = 260998830720. Its totient is φ = 31251162880.

The previous prime is 97382951641. The next prime is 97382951669. The reversal of 97382951664 is 46615928379.

It is a junction number, because it is equal to n+sod(n) for n = 97382951598 and 97382951607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97382951669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382219 + ... + 583829.

It is an arithmetic number, because the mean of its divisors is an integer number (3262485384).

Almost surely, 2^97382951664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97382951664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130499415360).

97382951664 is an abundant number, since it is smaller than the sum of its proper divisors (163615879056).

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

97382951664 is a wasteful number, since it uses less digits than its factorization.

97382951664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201998 (or 201992 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 60.

The spelling of 97382951664 in words is "ninety-seven billion, three hundred eighty-two million, nine hundred fifty-one thousand, six hundred sixty-four".