36136102641408 has 720 divisors, whose sum is σ = 138673023498240. Its totient is φ = 9083214028800.

The previous prime is 36136102641407. The next prime is 36136102641467. The reversal of 36136102641408 is 80414620163163.

36136102641408 is a `hidden beast` number, since 3 + 6 + 1 + 3 + 610 + 26 + 4 + 1 + 4 + 0 + 8 = 666.

It is a super-2 number, since 2×36136102641408² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36136102641407) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49131798 + ... + 49861866.

Almost surely, 2^{36136102641408} 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 36136102641408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69336511749120).

36136102641408 is an abundant number, since it is smaller than the sum of its proper divisors (102536920856832).

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

36136102641408 is a wasteful number, since it uses less digits than its factorization.

36136102641408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730146 (or 730123 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 36136102641408 in words is "thirty-six trillion, one hundred thirty-six billion, one hundred two million, six hundred forty-one thousand, four hundred eight".