97853849856 has 567 divisors, whose sum is σ = 347395133631. Its totient is φ = 26486756352.

The previous prime is 97853849813. The next prime is 97853849857. The reversal of 97853849856 is 65894835879.

The square root of 97853849856 is 312816.

It is a perfect power (a square), and thus also a powerful number.

97853849856 is a `hidden beast` number, since 9 + 7 + 8 + 538 + 4 + 9 + 85 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (97853849857) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 5150202615 + ... + 5150202633.

Almost surely, 2^97853849856 is an apocalyptic number.

97853849856 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

97853849856 is the 312816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97853849856

97853849856 is an abundant number, since it is smaller than the sum of its proper divisors (249541283775).

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

97853849856 is an frugal number, since it uses more digits than its factorization.

97853849856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 31 counting only the distinct ones).

The product of its digits is 522547200, while the sum is 72.

The spelling of 97853849856 in words is "ninety-seven billion, eight hundred fifty-three million, eight hundred forty-nine thousand, eight hundred fifty-six".