97263564217344 has 880 divisors, whose sum is σ = 353436429646080. Its totient is φ = 26008318771200.

The previous prime is 97263564217273. The next prime is 97263564217349. The reversal of 97263564217344 is 44371246536279.

97263564217344 is a `hidden beast` number, since 9 + 7 + 2 + 6 + 3 + 564 + 21 + 7 + 3 + 44 = 666.

It is a super-2 number, since 2×97263564217344² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97263564217349) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1766762619 + ... + 1766817669.

It is an arithmetic number, because the mean of its divisors is an integer number (401632306416).

Almost surely, 2^{97263564217344} 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 97263564217344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176718214823040).

97263564217344 is an abundant number, since it is smaller than the sum of its proper divisors (256172865428736).

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

97263564217344 is a wasteful number, since it uses less digits than its factorization.

97263564217344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55286 (or 55259 counting only the distinct ones).

The product of its digits is 182891520, while the sum is 63.

The spelling of 97263564217344 in words is "ninety-seven trillion, two hundred sixty-three billion, five hundred sixty-four million, two hundred seventeen thousand, three hundred forty-four".