45419944752000 has 8192 divisors, whose sum is σ = 237381580800000. Its totient is φ = 8427641241600.

The previous prime is 45419944751939. The next prime is 45419944752029. The reversal of 45419944752000 is 25744991454.

45419944752000 is a `hidden beast` number, since 4 + 5 + 4 + 199 + 447 + 5 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 622191023964 + ... + 622191024036.

It is an arithmetic number, because the mean of its divisors is an integer number (28977243750).

Almost surely, 2^{45419944752000} is an apocalyptic number.

45419944752000 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 45419944752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118690790400000).

45419944752000 is an abundant number, since it is smaller than the sum of its proper divisors (191961636048000).

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

45419944752000 is a wasteful number, since it uses less digits than its factorization.

45419944752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 45419944752000 in words is "forty-five trillion, four hundred nineteen billion, nine hundred forty-four million, seven hundred fifty-two thousand".