97508949408 has 216 divisors, whose sum is σ = 300722205420. Its totient is φ = 29956792320.

The previous prime is 97508949403. The next prime is 97508949413. The reversal of 97508949408 is 80494980579.

97508949408 is a `hidden beast` number, since 97 + 50 + 8 + 9 + 494 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (97508949403) and next prime (97508949413).

It can be written as a sum of positive squares in 6 ways, for example, as 10018408464 + 87490540944 = 100092^2 + 295788^2 .

It is not an unprimeable number, because it can be changed into a prime (97508949403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45799288 + ... + 45801416.

Almost surely, 2^97508949408 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 97508949408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150361102710).

97508949408 is an abundant number, since it is smaller than the sum of its proper divisors (203213256012).

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

97508949408 is a wasteful number, since it uses less digits than its factorization.

97508949408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3112 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 97508949408 in words is "ninety-seven billion, five hundred eight million, nine hundred forty-nine thousand, four hundred eight".