97145045760 has 576 divisors, whose sum is σ = 365984446464. Its totient is φ = 21499084800.

The previous prime is 97145045729. The next prime is 97145045797. The reversal of 97145045760 is 6754054179.

It is a Cunningham number, because it is equal to 311681²-1.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 199476237 + ... + 199476723.

It is an arithmetic number, because the mean of its divisors is an integer number (635389664).

Almost surely, 2^97145045760 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 97145045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182992223232).

97145045760 is an abundant number, since it is smaller than the sum of its proper divisors (268839400704).

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

97145045760 is a wasteful number, since it uses less digits than its factorization.

97145045760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The spelling of 97145045760 in words is "ninety-seven billion, one hundred forty-five million, forty-five thousand, seven hundred sixty".