45543375360 has 1280 divisors, whose sum is σ = 201522816000. Its totient is φ = 9710862336.

The previous prime is 45543375359. The next prime is 45543375373. The reversal of 45543375360 is 6357334554.

It is a happy number.

45543375360 is a `hidden beast` number, since 4 + 5 + 543 + 3 + 75 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 127 ways as a sum of consecutive naturals, for example, 403038664 + ... + 403038776.

It is an arithmetic number, because the mean of its divisors is an integer number (157439700).

Almost surely, 2^45543375360 is an apocalyptic number.

45543375360 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 45543375360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100761408000).

45543375360 is an abundant number, since it is smaller than the sum of its proper divisors (155979440640).

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

45543375360 is a wasteful number, since it uses less digits than its factorization.

45543375360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 45.

It can be divided in two parts, 45543 and 375360, that added together give a triangular number (420903 = T₉₁₇).

The spelling of 45543375360 in words is "forty-five billion, five hundred forty-three million, three hundred seventy-five thousand, three hundred sixty".