97505845248 has 448 divisors, whose sum is σ = 326632458240. Its totient is φ = 25225592832.

The previous prime is 97505845243. The next prime is 97505845301. The reversal of 97505845248 is 84254850579.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (97505845243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75177336 + ... + 75178632.

Almost surely, 2^97505845248 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 97505845248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163316229120).

97505845248 is an abundant number, since it is smaller than the sum of its proper divisors (229126612992).

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

97505845248 is a wasteful number, since it uses less digits than its factorization.

97505845248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 57.

It can be divided in two parts, 975058 and 45248, that added together give a triangular number (1020306 = T₁₄₂₈).

The spelling of 97505845248 in words is "ninety-seven billion, five hundred five million, eight hundred forty-five thousand, two hundred forty-eight".