45331484760000 has 2520 divisors, whose sum is σ = 182411615498112. Its totient is φ = 11136787200000.

The previous prime is 45331484759963. The next prime is 45331484760041. The reversal of 45331484760000 is 6748413354.

45331484760000 is a `hidden beast` number, since 4 + 5 + 3 + 31 + 4 + 8 + 4 + 7 + 600 + 0 + 0 = 666.

45331484760000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45331484760000² (a number of 28 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 214841159895 + ... + 214841160105.

Almost surely, 2^{45331484760000} is an apocalyptic number.

45331484760000 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 45331484760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91205807749056).

45331484760000 is an abundant number, since it is smaller than the sum of its proper divisors (137080130738112).

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

45331484760000 is an equidigital number, since it uses as much as digits as its factorization.

45331484760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 45331484760000 in words is "forty-five trillion, three hundred thirty-one billion, four hundred eighty-four million, seven hundred sixty thousand".