10084226032992 has 96 divisors (see below), whose sum is σ = 27119797415424. Its totient is φ = 3279052108800.

The previous prime is 10084226032957. The next prime is 10084226032997. The reversal of 10084226032992 is 29923062248001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10084226032992² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10084226032997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35783517 + ... + 36064227.

It is an arithmetic number, because the mean of its divisors is an integer number (282497889744).

Almost surely, 2^{10084226032992} is an apocalyptic number.

10084226032992 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 10084226032992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13559898707712).

10084226032992 is an abundant number, since it is smaller than the sum of its proper divisors (17035571382432).

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

10084226032992 is a wasteful number, since it uses less digits than its factorization.

10084226032992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289892 (or 289884 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 10084226032992 in words is "ten trillion, eighty-four billion, two hundred twenty-six million, thirty-two thousand, nine hundred ninety-two".