36456104160 has 1152 divisors, whose sum is σ = 158505984000. Its totient is φ = 7733698560.

The previous prime is 36456104149. The next prime is 36456104231. The reversal of 36456104160 is 6140165463.

It is a happy number.

36456104160 is a `hidden beast` number, since 3 + 645 + 6 + 1 + 0 + 4 + 1 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 244671766 + ... + 244671914.

It is an arithmetic number, because the mean of its divisors is an integer number (137592000).

Almost surely, 2^36456104160 is an apocalyptic number.

36456104160 is a gapful number since it is divisible by the number (30) 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 36456104160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79252992000).

36456104160 is an abundant number, since it is smaller than the sum of its proper divisors (122049879840).

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

36456104160 is a wasteful number, since it uses less digits than its factorization.

36456104160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 36456104160 in words is "thirty-six billion, four hundred fifty-six million, one hundred four thousand, one hundred sixty".