36103084416 has 384 divisors, whose sum is σ = 128113876800. Its totient is φ = 9523298304.

The previous prime is 36103084387. The next prime is 36103084417. The reversal of 36103084416 is 61448030163.

It is a happy number.

36103084416 is a `hidden beast` number, since 3 + 610 + 30 + 8 + 4 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×36103084416² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36103084417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7263180 + ... + 7268148.

Almost surely, 2^36103084416 is an apocalyptic number.

36103084416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36103084416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64056938400).

36103084416 is an abundant number, since it is smaller than the sum of its proper divisors (92010792384).

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

36103084416 is a wasteful number, since it uses less digits than its factorization.

36103084416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5066 (or 5051 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 36103084416 in words is "thirty-six billion, one hundred three million, eighty-four thousand, four hundred sixteen".