36416703456 has 144 divisors (see below), whose sum is σ = 119402416224. Its totient is φ = 10312630272.

The previous prime is 36416703451. The next prime is 36416703481. The reversal of 36416703456 is 65430761463.

36416703456 is a `hidden beast` number, since 36 + 4 + 167 + 0 + 3 + 456 = 666.

36416703456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36416703451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147880 + ... + 307736.

It is an arithmetic number, because the mean of its divisors is an integer number (829183446).

Almost surely, 2^36416703456 is an apocalyptic number.

36416703456 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 36416703456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59701208112).

36416703456 is an abundant number, since it is smaller than the sum of its proper divisors (82985712768).

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

36416703456 is a wasteful number, since it uses less digits than its factorization.

36416703456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159993 (or 159982 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 36416703456 in words is "thirty-six billion, four hundred sixteen million, seven hundred three thousand, four hundred fifty-six".