46688140800 has 900 divisors, whose sum is σ = 201226596120. Its totient is φ = 10659962880.

The previous prime is 46688140787. The next prime is 46688140817. The reversal of 46688140800 is 804188664.

46688140800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 50802741 + ... + 50803659.

Almost surely, 2^46688140800 is an apocalyptic number.

46688140800 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 46688140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100613298060).

46688140800 is an abundant number, since it is smaller than the sum of its proper divisors (154538455320).

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

46688140800 is an equidigital number, since it uses as much as digits as its factorization.

46688140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 46688140800 in words is "forty-six billion, six hundred eighty-eight million, one hundred forty thousand, eight hundred".