99271242233856 has 3456 divisors, whose sum is σ = 394641858723840. Its totient is φ = 24371601408000.

The previous prime is 99271242233797. The next prime is 99271242233861. The reversal of 99271242233856 is 65833224217299.

99271242233856 is a `hidden beast` number, since 9 + 9 + 2 + 7 + 1 + 24 + 223 + 385 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a junction number, because it is equal to n+sod(n) for n = 99271242233793 and 99271242233802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 927768618955 + ... + 927768619061.

It is an arithmetic number, because the mean of its divisors is an integer number (114190352640).

Almost surely, 2^{99271242233856} is an apocalyptic number.

99271242233856 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 99271242233856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197320929361920).

99271242233856 is an abundant number, since it is smaller than the sum of its proper divisors (295370616489984).

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

99271242233856 is a wasteful number, since it uses less digits than its factorization.

99271242233856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 232 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 99271242233856 in words is "ninety-nine trillion, two hundred seventy-one billion, two hundred forty-two million, two hundred thirty-three thousand, eight hundred fifty-six".