36342123601056 has 1152 divisors, whose sum is σ = 128511579635712. Its totient is φ = 8746444800000.

The previous prime is 36342123601033. The next prime is 36342123601057. The reversal of 36342123601056 is 65010632124363.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 36342123600999 and 36342123601017.

It is not an unprimeable number, because it can be changed into a prime (36342123601057) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24538907836 + ... + 24538909316.

It is an arithmetic number, because the mean of its divisors is an integer number (111555190656).

Almost surely, 2^{36342123601056} 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 36342123601056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64255789817856).

36342123601056 is an abundant number, since it is smaller than the sum of its proper divisors (92169456034656).

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

36342123601056 is a wasteful number, since it uses less digits than its factorization.

36342123601056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 36342123601056 in words is "thirty-six trillion, three hundred forty-two billion, one hundred twenty-three million, six hundred one thousand, fifty-six".