46249945600 has 240 divisors, whose sum is σ = 120608851968. Its totient is φ = 17542103040.

The previous prime is 46249945591. The next prime is 46249945603. The reversal of 46249945600 is 654994264.

It is not an unprimeable number, because it can be changed into a prime (46249945603) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 37388182 + ... + 37389418.

Almost surely, 2^46249945600 is an apocalyptic number.

46249945600 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 46249945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60304425984).

46249945600 is an abundant number, since it is smaller than the sum of its proper divisors (74358906368).

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

46249945600 is a wasteful number, since it uses less digits than its factorization.

46249945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 49.

The spelling of 46249945600 in words is "forty-six billion, two hundred forty-nine million, nine hundred forty-five thousand, six hundred".