97153448448 has 960 divisors, whose sum is σ = 347577753600. Its totient is φ = 23503011840.

The previous prime is 97153448443. The next prime is 97153448453. The reversal of 97153448448 is 84484435179.

It is an interprime number because it is at equal distance from previous prime (97153448443) and next prime (97153448453).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97153448443) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3133982193 + ... + 3133982223.

It is an arithmetic number, because the mean of its divisors is an integer number (362060160).

Almost surely, 2^97153448448 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 97153448448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173788876800).

97153448448 is an abundant number, since it is smaller than the sum of its proper divisors (250424305152).

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

97153448448 is a wasteful number, since it uses less digits than its factorization.

97153448448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 114 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 57.

The spelling of 97153448448 in words is "ninety-seven billion, one hundred fifty-three million, four hundred forty-eight thousand, four hundred forty-eight".