45044352756000 has 576 divisors, whose sum is σ = 172505419632000. Its totient is φ = 11065563187200.

The previous prime is 45044352755977. The next prime is 45044352756049. The reversal of 45044352756000 is 65725344054.

45044352756000 is a `hidden beast` number, since 4 + 5 + 0 + 4 + 4 + 35 + 2 + 7 + 5 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 233435559 + ... + 233628441.

It is an arithmetic number, because the mean of its divisors is an integer number (299488575750).

Almost surely, 2^{45044352756000} is an apocalyptic number.

45044352756000 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 45044352756000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86252709816000).

45044352756000 is an abundant number, since it is smaller than the sum of its proper divisors (127461066876000).

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

45044352756000 is a wasteful number, since it uses less digits than its factorization.

45044352756000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193426 (or 193405 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 45.

The spelling of 45044352756000 in words is "forty-five trillion, forty-four billion, three hundred fifty-two million, seven hundred fifty-six thousand".