45440154144000 has 3456 divisors, whose sum is σ = 217567896698880. Its totient is φ = 9132963840000.

The previous prime is 45440154143999. The next prime is 45440154144019. The reversal of 45440154144000 is 44145104454.

45440154144000 is a `hidden beast` number, since 4 + 54 + 40 + 154 + 14 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 383 ways as a sum of consecutive naturals, for example, 22686046999 + ... + 22686049001.

Almost surely, 2^{45440154144000} is an apocalyptic number.

45440154144000 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 45440154144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108783948349440).

45440154144000 is an abundant number, since it is smaller than the sum of its proper divisors (172127742554880).

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

45440154144000 is a wasteful number, since it uses less digits than its factorization.

45440154144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Adding to 45440154144000 its reverse (44145104454), we get a palindrome (45484299248454).

The spelling of 45440154144000 in words is "forty-five trillion, four hundred forty billion, one hundred fifty-four million, one hundred forty-four thousand".