45001754703360 has 3200 divisors, whose sum is σ = 215608200192000. Its totient is φ = 8702829527040.

The previous prime is 45001754703277. The next prime is 45001754703371. The reversal of 45001754703360 is 6330745710054.

45001754703360 is a `hidden beast` number, since 4 + 5 + 0 + 0 + 17 + 547 + 0 + 33 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 11114286616 + ... + 11114290664.

It is an arithmetic number, because the mean of its divisors is an integer number (67377562560).

Almost surely, 2^{45001754703360} is an apocalyptic number.

45001754703360 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 45001754703360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107804100096000).

45001754703360 is an abundant number, since it is smaller than the sum of its proper divisors (170606445488640).

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

45001754703360 is a wasteful number, since it uses less digits than its factorization.

45001754703360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4154 (or 4129 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 45001754703360 in words is "forty-five trillion, one billion, seven hundred fifty-four million, seven hundred three thousand, three hundred sixty".