45318060533760 has 1152 divisors, whose sum is σ = 172435588940160. Its totient is φ = 10127493562368.

The previous prime is 45318060533657. The next prime is 45318060533761. The reversal of 45318060533760 is 6733506081354.

It is a super-2 number, since 2×45318060533760² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45318060533761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27683603662 + ... + 27683605298.

It is an arithmetic number, because the mean of its divisors is an integer number (149683670955).

Almost surely, 2^{45318060533760} is an apocalyptic number.

45318060533760 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 45318060533760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86217794470080).

45318060533760 is an abundant number, since it is smaller than the sum of its proper divisors (127117528406400).

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

45318060533760 is a wasteful number, since it uses less digits than its factorization.

45318060533760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 51.

The spelling of 45318060533760 in words is "forty-five trillion, three hundred eighteen billion, sixty million, five hundred thirty-three thousand, seven hundred sixty".