97822238976 has 1152 divisors, whose sum is σ = 383029248000. Its totient is φ = 24588748800.

The previous prime is 97822238959. The next prime is 97822238993. The reversal of 97822238976 is 67983222879.

97822238976 is a `hidden beast` number, since 97 + 82 + 22 + 389 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (97822238959) and next prime (97822238993).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (36578304) is a multiple of the sum of its prime divisors (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3155556081 + ... + 3155556111.

Almost surely, 2^97822238976 is an apocalyptic number.

97822238976 is a gapful number since it is divisible by the number (96) 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 97822238976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191514624000).

97822238976 is an abundant number, since it is smaller than the sum of its proper divisors (285207009024).

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

97822238976 is an equidigital number, since it uses as much as digits as its factorization.

97822238976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 54 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 97822238976 in words is "ninety-seven billion, eight hundred twenty-two million, two hundred thirty-eight thousand, nine hundred seventy-six".