46042365600 has 2304 divisors, whose sum is σ = 230385254400. Its totient is φ = 8584704000.

The previous prime is 46042365571. The next prime is 46042365613. The reversal of 46042365600 is 656324064.

46042365600 is a `hidden beast` number, since 4 + 6 + 0 + 42 + 3 + 6 + 5 + 600 = 666.

46042365600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 979624777 + ... + 979624823.

It is an arithmetic number, because the mean of its divisors is an integer number (99993600).

Almost surely, 2^46042365600 is an apocalyptic number.

46042365600 is a gapful number since it is divisible by the number (40) 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 46042365600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115192627200).

46042365600 is an abundant number, since it is smaller than the sum of its proper divisors (184342888800).

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

46042365600 is a wasteful number, since it uses less digits than its factorization.

46042365600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 46042365600 its reverse (656324064), we get a palindrome (46698689664).

The spelling of 46042365600 in words is "forty-six billion, forty-two million, three hundred sixty-five thousand, six hundred".