97161253848 has 96 divisors (see below), whose sum is σ = 265432986000. Its totient is φ = 32106357504.

The previous prime is 97161253823. The next prime is 97161253859. The reversal of 97161253848 is 84835216179.

97161253848 is a `hidden beast` number, since 9 + 7 + 1 + 61 + 2 + 538 + 48 = 666.

It is a Cunningham number, because it is equal to 311707²-1.

It is a super-3 number, since 3×97161253848³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 97161253794 and 97161253803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5602086 + ... + 5619402.

Almost surely, 2^97161253848 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 97161253848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132716493000).

97161253848 is an abundant number, since it is smaller than the sum of its proper divisors (168271732152).

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

97161253848 is a wasteful number, since it uses less digits than its factorization.

97161253848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18001 (or 17994 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 97161253848 in words is "ninety-seven billion, one hundred sixty-one million, two hundred fifty-three thousand, eight hundred forty-eight".