97738142064 has 320 divisors, whose sum is σ = 272100584448. Its totient is φ = 30191616000.

The previous prime is 97738142063. The next prime is 97738142093. The reversal of 97738142064 is 46024183779.

It is a junction number, because it is equal to n+sod(n) for n = 97738141998 and 97738142016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97738142063) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 647272389 + ... + 647272539.

Almost surely, 2^97738142064 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 97738142064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136050292224).

97738142064 is an abundant number, since it is smaller than the sum of its proper divisors (174362442384).

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

97738142064 is a wasteful number, since it uses less digits than its factorization.

97738142064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 97738142064 in words is "ninety-seven billion, seven hundred thirty-eight million, one hundred forty-two thousand, sixty-four".