364096130112 has 672 divisors, whose sum is σ = 1295885485440. Its totient is φ = 99891118080.

The previous prime is 364096130087. The next prime is 364096130119. The reversal of 364096130112 is 211031690463.

364096130112 is a `hidden beast` number, since 3 + 6 + 409 + 6 + 130 + 112 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (364096130119) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117867064 + ... + 117870152.

It is an arithmetic number, because the mean of its divisors is an integer number (1928401020).

Almost surely, 2^364096130112 is an apocalyptic number.

364096130112 is a gapful number since it is divisible by the number (32) 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 364096130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647942742720).

364096130112 is an abundant number, since it is smaller than the sum of its proper divisors (931789355328).

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

364096130112 is a wasteful number, since it uses less digits than its factorization.

364096130112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3193 (or 3171 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 364096130112 in words is "three hundred sixty-four billion, ninety-six million, one hundred thirty thousand, one hundred twelve".