46749908800 has 168 divisors, whose sum is σ = 131613469056. Its totient is φ = 16010741760.

The previous prime is 46749908797. The next prime is 46749908981. The reversal of 46749908800 is 880994764.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 13695894 + ... + 13699306.

Almost surely, 2^46749908800 is an apocalyptic number.

46749908800 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 46749908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65806734528).

46749908800 is an abundant number, since it is smaller than the sum of its proper divisors (84863560256).

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

46749908800 is a wasteful number, since it uses less digits than its factorization.

46749908800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4665 (or 4650 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 55.

The spelling of 46749908800 in words is "forty-six billion, seven hundred forty-nine million, nine hundred eight thousand, eight hundred".