97458536448 has 720 divisors, whose sum is σ = 360678165120. Its totient is φ = 25607798784.

The previous prime is 97458536447. The next prime is 97458536471. The reversal of 97458536448 is 84463585479.

97458536448 is a `hidden beast` number, since 9 + 7 + 4 + 58 + 536 + 4 + 48 = 666.

It is a super-2 number, since 2×97458536448² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97458536447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 362299258 + ... + 362299526.

It is an arithmetic number, because the mean of its divisors is an integer number (500941896).

Almost surely, 2^97458536448 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 97458536448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180339082560).

97458536448 is an abundant number, since it is smaller than the sum of its proper divisors (263219628672).

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

97458536448 is an equidigital number, since it uses as much as digits as its factorization.

97458536448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 294 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 63.

The spelling of 97458536448 in words is "ninety-seven billion, four hundred fifty-eight million, five hundred thirty-six thousand, four hundred forty-eight".