97141305624 has 256 divisors, whose sum is σ = 288711475200. Its totient is φ = 26909107200.

The previous prime is 97141305607. The next prime is 97141305647. The reversal of 97141305624 is 42650314179.

It is a Cunningham number, because it is equal to 311675²-1.

It is a congruent number.

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, 71060989 + ... + 71062355.

It is an arithmetic number, because the mean of its divisors is an integer number (1127779200).

Almost surely, 2^97141305624 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 97141305624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144355737600).

97141305624 is an abundant number, since it is smaller than the sum of its proper divisors (191570169576).

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

97141305624 is a wasteful number, since it uses less digits than its factorization.

97141305624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 97141305624 in words is "ninety-seven billion, one hundred forty-one million, three hundred five thousand, six hundred twenty-four".