97354090944 has 672 divisors, whose sum is σ = 339306408000. Its totient is φ = 27249868800.

The previous prime is 97354090931. The next prime is 97354090963. The reversal of 97354090944 is 44909045379.

97354090944 is a `hidden beast` number, since 9 + 7 + 3 + 540 + 9 + 0 + 94 + 4 = 666.

It is a super-2 number, since 2×97354090944² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 216824032 + ... + 216824480.

It is an arithmetic number, because the mean of its divisors is an integer number (504920250).

Almost surely, 2^97354090944 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 97354090944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169653204000).

97354090944 is an abundant number, since it is smaller than the sum of its proper divisors (241952317056).

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

97354090944 is a wasteful number, since it uses less digits than its factorization.

97354090944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 97354090944 in words is "ninety-seven billion, three hundred fifty-four million, ninety thousand, nine hundred forty-four".