97114949280 has 432 divisors, whose sum is σ = 352758841344. Its totient is φ = 24324572160.

The previous prime is 97114949279. The next prime is 97114949303. The reversal of 97114949280 is 8294941179.

97114949280 is a `hidden beast` number, since 9 + 7 + 1 + 149 + 492 + 8 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66018945 + ... + 66020415.

It is an arithmetic number, because the mean of its divisors is an integer number (816571392).

Almost surely, 2^97114949280 is an apocalyptic number.

97114949280 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 97114949280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176379420672).

97114949280 is an abundant number, since it is smaller than the sum of its proper divisors (255643892064).

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

97114949280 is a wasteful number, since it uses less digits than its factorization.

97114949280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 97114949280 in words is "ninety-seven billion, one hundred fourteen million, nine hundred forty-nine thousand, two hundred eighty".