97381883828736 has 480 divisors, whose sum is σ = 307243416287808. Its totient is φ = 29513837445120.

The previous prime is 97381883828653. The next prime is 97381883828797. The reversal of 97381883828736 is 63782838818379.

97381883828736 is a `hidden beast` number, since 9 + 7 + 3 + 81 + 88 + 382 + 87 + 3 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1226015455 + ... + 1226094881.

Almost surely, 2^{97381883828736} is an apocalyptic number.

97381883828736 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 97381883828736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153621708143904).

97381883828736 is an abundant number, since it is smaller than the sum of its proper divisors (209861532459072).

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

97381883828736 is a wasteful number, since it uses less digits than its factorization.

97381883828736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79772 (or 79753 counting only the distinct ones).

The product of its digits is 4682022912, while the sum is 81.

The spelling of 97381883828736 in words is "ninety-seven trillion, three hundred eighty-one billion, eight hundred eighty-three million, eight hundred twenty-eight thousand, seven hundred thirty-six".