8235229956096 has 1536 divisors, whose sum is σ = 28768836096000. Its totient is φ = 2055418675200.

The previous prime is 8235229956029. The next prime is 8235229956113. The reversal of 8235229956096 is 6906599225328.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×8235229956096² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 34171078536 + ... + 34171078776.

It is an arithmetic number, because the mean of its divisors is an integer number (18729711000).

Almost surely, 2^{8235229956096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8235229956096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14384418048000).

8235229956096 is an abundant number, since it is smaller than the sum of its proper divisors (20533606139904).

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

8235229956096 is a wasteful number, since it uses less digits than its factorization.

8235229956096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 125971200, while the sum is 66.

The spelling of 8235229956096 in words is "eight trillion, two hundred thirty-five billion, two hundred twenty-nine million, nine hundred fifty-six thousand, ninety-six".