45311736960 has 1280 divisors, whose sum is σ = 198340876800. Its totient is φ = 9634775040.

The previous prime is 45311736931. The next prime is 45311736971. The reversal of 45311736960 is 6963711354.

It is a happy number.

45311736960 is a `hidden beast` number, since 453 + 11 + 73 + 69 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 509120596 + ... + 509120684.

It is an arithmetic number, because the mean of its divisors is an integer number (154953810).

Almost surely, 2^45311736960 is an apocalyptic number.

45311736960 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 45311736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99170438400).

45311736960 is an abundant number, since it is smaller than the sum of its proper divisors (153029139840).

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

45311736960 is a wasteful number, since it uses less digits than its factorization.

45311736960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 190 counting only the distinct ones).

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

The spelling of 45311736960 in words is "forty-five billion, three hundred eleven million, seven hundred thirty-six thousand, nine hundred sixty".