97756481466 has 432 divisors, whose sum is σ = 272574567720. Its totient is φ = 25198387200.

The previous prime is 97756481461. The next prime is 97756481477. The reversal of 97756481466 is 66418465779.

It is a happy number.

97756481466 is a `hidden beast` number, since 9 + 7 + 7 + 564 + 8 + 1 + 4 + 66 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 58332393441 + 39424088025 = 241521^2 + 198555^2 .

It is a super-2 number, since 2×97756481466² (a number of 23 digits) contains 22 as substring.

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

Its product of digits (60963840) is a multiple of the sum of its prime divisors (210).

It is not an unprimeable number, because it can be changed into a prime (97756481461) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1007798730 + ... + 1007798826.

Almost surely, 2^97756481466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97756481466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136287283860).

97756481466 is an abundant number, since it is smaller than the sum of its proper divisors (174818086254).

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

97756481466 is a wasteful number, since it uses less digits than its factorization.

97756481466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 210 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 97756481466 in words is "ninety-seven billion, seven hundred fifty-six million, four hundred eighty-one thousand, four hundred sixty-six".