46294416000 has 1056 divisors, whose sum is σ = 200835734580. Its totient is φ = 10581580800.

The previous prime is 46294415989. The next prime is 46294416013. The reversal of 46294416000 is 61449264.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

46294416000 is a `hidden beast` number, since 4 + 6 + 2 + 9 + 4 + 41 + 600 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31295025216 + 14999390784 = 176904^2 + 122472^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 6613487997 + ... + 6613488003.

Almost surely, 2^46294416000 is an apocalyptic number.

46294416000 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 46294416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100417867290).

46294416000 is an abundant number, since it is smaller than the sum of its proper divisors (154541318580).

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

46294416000 is an frugal number, since it uses more digits than its factorization.

46294416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 17 counting only the distinct ones).

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

The spelling of 46294416000 in words is "forty-six billion, two hundred ninety-four million, four hundred sixteen thousand".