45681222144000 has 416 divisors, whose sum is σ = 152528852496384. Its totient is φ = 12139964006400.

The previous prime is 45681222143951. The next prime is 45681222144011. The reversal of 45681222144000 is 44122218654.

It is a self number, because there is not a number n which added to its sum of digits gives 45681222144000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449997249 + ... + 450098751.

It is an arithmetic number, because the mean of its divisors is an integer number (366655895424).

Almost surely, 2^{45681222144000} is an apocalyptic number.

45681222144000 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 45681222144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76264426248192).

45681222144000 is an abundant number, since it is smaller than the sum of its proper divisors (106847630352384).

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

45681222144000 is a wasteful number, since it uses less digits than its factorization.

45681222144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101838 (or 101806 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The spelling of 45681222144000 in words is "forty-five trillion, six hundred eighty-one billion, two hundred twenty-two million, one hundred forty-four thousand".