36609638542848 has 1120 divisors, whose sum is σ = 127721887180800. Its totient is φ = 10262803120128.

The previous prime is 36609638542817. The next prime is 36609638542871. The reversal of 36609638542848 is 84824583690663.

36609638542848 is a `hidden beast` number, since 3 + 6 + 6 + 0 + 9 + 6 + 38 + 542 + 8 + 48 = 666.

It is a super-2 number, since 2×36609638542848² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 39836385333 + ... + 39836386251.

Almost surely, 2^{36609638542848} 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 36609638542848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63860943590400).

36609638542848 is an abundant number, since it is smaller than the sum of its proper divisors (91112248637952).

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

36609638542848 is an frugal number, since it uses more digits than its factorization.

36609638542848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 1433272320, while the sum is 72.

The spelling of 36609638542848 in words is "thirty-six trillion, six hundred nine billion, six hundred thirty-eight million, five hundred forty-two thousand, eight hundred forty-eight".