46506700800 has 1092 divisors, whose sum is σ = 199825670160. Its totient is φ = 10510663680.

The previous prime is 46506700771. The next prime is 46506700817. The reversal of 46506700800 is 800760564.

It is a happy number.

46506700800 is a `hidden beast` number, since 4 + 6 + 506 + 70 + 0 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 522547156 + ... + 522547244.

Almost surely, 2^46506700800 is an apocalyptic number.

46506700800 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 46506700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99912835080).

46506700800 is an abundant number, since it is smaller than the sum of its proper divisors (153318969360).

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

46506700800 is an frugal number, since it uses more digits than its factorization.

46506700800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 46506700800 in words is "forty-six billion, five hundred six million, seven hundred thousand, eight hundred".