97461000000 has 1764 divisors, whose sum is σ = 463176961884. Its totient is φ = 19353600000.

The previous prime is 97460999981. The next prime is 97461000041. The reversal of 97461000000 is 16479.

It can be written as a sum of positive squares in 14 ways, for example, as 77212848384 + 20248151616 = 277872^2 + 142296^2 .

It is a tau number, because it is divible by the number of its divisors (1764).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 5732999992 + ... + 5733000008.

Almost surely, 2^97461000000 is an apocalyptic number.

97461000000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97461000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231588480942).

97461000000 is an abundant number, since it is smaller than the sum of its proper divisors (365715961884).

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

97461000000 is a wasteful number, since it uses less digits than its factorization.

97461000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 97461000000 its reverse (16479), we get a palindrome (97461016479).

The spelling of 97461000000 in words is "ninety-seven billion, four hundred sixty-one million", and thus it is an aban number.