45381375144 has 128 divisors (see below), whose sum is σ = 144129024000. Its totient is φ = 12960603072.

The previous prime is 45381375103. The next prime is 45381375181. The reversal of 45381375144 is 44157318354.

45381375144 is a `hidden beast` number, since 4 + 53 + 81 + 3 + 7 + 514 + 4 = 666.

It is a super-2 number, since 2×45381375144² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45381375144.

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, 4711117 + ... + 4720739.

It is an arithmetic number, because the mean of its divisors is an integer number (1126008000).

Almost surely, 2^45381375144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45381375144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72064512000).

45381375144 is an abundant number, since it is smaller than the sum of its proper divisors (98747648856).

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

45381375144 is a wasteful number, since it uses less digits than its factorization.

45381375144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12764 (or 12754 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 45381375144 in words is "forty-five billion, three hundred eighty-one million, three hundred seventy-five thousand, one hundred forty-four".