109825226697312 has 216 divisors, whose sum is σ = 363664462988736. Its totient is φ = 31347656169984.

The previous prime is 109825226697247. The next prime is 109825226697353. The reversal of 109825226697312 is 213796622528901.

109825226697312 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 2 + 5 + 226 + 6 + 97 + 312 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 109825226697312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10454193 + ... + 18136719.

It is an arithmetic number, because the mean of its divisors is an integer number (1683631773096).

Almost surely, 2^{109825226697312} is an apocalyptic number.

109825226697312 is a gapful number since it is divisible by the number (12) 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 109825226697312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181832231494368).

109825226697312 is an abundant number, since it is smaller than the sum of its proper divisors (253839236291424).

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

109825226697312 is a wasteful number, since it uses less digits than its factorization.

109825226697312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7683570 (or 7683552 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 109825226697312 in words is "one hundred nine trillion, eight hundred twenty-five billion, two hundred twenty-six million, six hundred ninety-seven thousand, three hundred twelve".