36115379206848 has 168 divisors, whose sum is σ = 104312537707248. Its totient is φ = 11946284034048.

The previous prime is 36115379206831. The next prime is 36115379206853. The reversal of 36115379206848 is 84860297351163.

36115379206848 is a `hidden beast` number, since 3 + 6 + 1 + 1 + 537 + 92 + 0 + 6 + 8 + 4 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69645615 + ... + 70162257.

It is a 2-persistent number, because it is pandigital, and so is 2⋅36115379206848 = 72230758413696, but 3⋅36115379206848 = 108346137620544 is not.

Almost surely, 2^{36115379206848} 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 36115379206848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52156268853624).

36115379206848 is an abundant number, since it is smaller than the sum of its proper divisors (68197158500400).

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

36115379206848 is a wasteful number, since it uses less digits than its factorization.

36115379206848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517591 (or 517578 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 36115379206848 in words is "thirty-six trillion, one hundred fifteen billion, three hundred seventy-nine million, two hundred six thousand, eight hundred forty-eight".