97921414621408 has 768 divisors, whose sum is σ = 251275390894080. Its totient is φ = 36603061862400.

The previous prime is 97921414621343. The next prime is 97921414621447. The reversal of 97921414621408 is 80412641412979.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69497099808 + ... + 69497101216.

It is an arithmetic number, because the mean of its divisors is an integer number (327181498560).

Almost surely, 2^{97921414621408} 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 97921414621408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125637695447040).

97921414621408 is an abundant number, since it is smaller than the sum of its proper divisors (153353976272672).

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

97921414621408 is a wasteful number, since it uses less digits than its factorization.

97921414621408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 58.

The spelling of 97921414621408 in words is "ninety-seven trillion, nine hundred twenty-one billion, four hundred fourteen million, six hundred twenty-one thousand, four hundred eight".