45363727248 has 480 divisors, whose sum is σ = 153198051840. Its totient is φ = 11461201920.

The previous prime is 45363727223. The next prime is 45363727249. The reversal of 45363727248 is 84272736354.

45363727248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 45363727248.

It is not an unprimeable number, because it can be changed into a prime (45363727249) 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, 160295715 + ... + 160295997.

It is an arithmetic number, because the mean of its divisors is an integer number (319162608).

Almost surely, 2^45363727248 is an apocalyptic number.

45363727248 is a gapful number since it is divisible by the number (48) 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 45363727248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76599025920).

45363727248 is an abundant number, since it is smaller than the sum of its proper divisors (107834324592).

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

45363727248 is a wasteful number, since it uses less digits than its factorization.

45363727248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 542 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 51.

The spelling of 45363727248 in words is "forty-five billion, three hundred sixty-three million, seven hundred twenty-seven thousand, two hundred forty-eight".