97805137563904 has 243 divisors, whose sum is σ = 210015729562863. Its totient is φ = 45449973989376.

The previous prime is 97805137563899. The next prime is 97805137563919. The reversal of 97805137563904 is 40936573150879.

The square root of 97805137563904 is 9889648.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3904386306304 + 93900751257600 = 1975952^2 + 9690240^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 97805137563904.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 277068378192 + ... + 277068378544.

Almost surely, 2^{97805137563904} is an apocalyptic number.

97805137563904 is the 9889648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97805137563904

97805137563904 is an abundant number, since it is smaller than the sum of its proper divisors (112210591998959).

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

97805137563904 is an frugal number, since it uses more digits than its factorization.

97805137563904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 171460800, while the sum is 67.

The spelling of 97805137563904 in words is "ninety-seven trillion, eight hundred five billion, one hundred thirty-seven million, five hundred sixty-three thousand, nine hundred four".