45113967360 has 720 divisors, whose sum is σ = 201294035712. Its totient is φ = 9372672000.

The previous prime is 45113967331. The next prime is 45113967373. The reversal of 45113967360 is 6376931154.

It is a happy number.

45113967360 is a `hidden beast` number, since 4 + 511 + 3 + 9 + 6 + 73 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7980535 + ... + 7986185.

Almost surely, 2^45113967360 is an apocalyptic number.

45113967360 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 45113967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100647017856).

45113967360 is an abundant number, since it is smaller than the sum of its proper divisors (156180068352).

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

45113967360 is a wasteful number, since it uses less digits than its factorization.

45113967360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5702 (or 5679 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 45113967360 in words is "forty-five billion, one hundred thirteen million, nine hundred sixty-seven thousand, three hundred sixty".