46771872000 has 864 divisors, whose sum is σ = 184805921664. Its totient is φ = 10450944000.

The previous prime is 46771871981. The next prime is 46771872023. The reversal of 46771872000 is 27817764.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 286943919 + ... + 286944081.

Almost surely, 2^46771872000 is an apocalyptic number.

46771872000 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 46771872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92402960832).

46771872000 is an abundant number, since it is smaller than the sum of its proper divisors (138034049664).

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

46771872000 is a wasteful number, since it uses less digits than its factorization.

46771872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 42.

The spelling of 46771872000 in words is "forty-six billion, seven hundred seventy-one million, eight hundred seventy-two thousand".