46472028272800 has 288 divisors, whose sum is σ = 123733924272000. Its totient is φ = 16941589647360.

The previous prime is 46472028272771. The next prime is 46472028272807. The reversal of 46472028272800 is 827282027464.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (46472028272807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258693411 + ... + 258872989.

It is an arithmetic number, because the mean of its divisors is an integer number (429631681500).

Almost surely, 2^{46472028272800} is an apocalyptic number.

46472028272800 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 46472028272800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61866962136000).

46472028272800 is an abundant number, since it is smaller than the sum of its proper divisors (77261895999200).

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

46472028272800 is a wasteful number, since it uses less digits than its factorization.

46472028272800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179928 (or 179915 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 52.

The spelling of 46472028272800 in words is "forty-six trillion, four hundred seventy-two billion, twenty-eight million, two hundred seventy-two thousand, eight hundred".