46490371200 has 1536 divisors, whose sum is σ = 214894579200. Its totient is φ = 9674588160.

The previous prime is 46490371199. The next prime is 46490371211. The reversal of 46490371200 is 217309464.

46490371200 is a `hidden beast` number, since 4 + 649 + 0 + 3 + 7 + 1 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×46490371200² (a number of 22 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 636854364 + ... + 636854436.

It is an arithmetic number, because the mean of its divisors is an integer number (139905325).

Almost surely, 2^46490371200 is an apocalyptic number.

46490371200 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 46490371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107447289600).

46490371200 is an abundant number, since it is smaller than the sum of its proper divisors (168404208000).

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

46490371200 is an equidigital number, since it uses as much as digits as its factorization.

46490371200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 46490371200 in words is "forty-six billion, four hundred ninety million, three hundred seventy-one thousand, two hundred".