45541973520 has 640 divisors, whose sum is σ = 171417600000. Its totient is φ = 11083806720.

The previous prime is 45541973497. The next prime is 45541973527. The reversal of 45541973520 is 2537914554.

45541973520 is a `hidden beast` number, since 4 + 5 + 54 + 1 + 9 + 73 + 520 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (45541973527) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 91266231 + ... + 91266729.

It is an arithmetic number, because the mean of its divisors is an integer number (267840000).

Almost surely, 2^45541973520 is an apocalyptic number.

45541973520 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 45541973520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85708800000).

45541973520 is an abundant number, since it is smaller than the sum of its proper divisors (125875626480).

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

45541973520 is a wasteful number, since it uses less digits than its factorization.

45541973520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 45541973520 in words is "forty-five billion, five hundred forty-one million, nine hundred seventy-three thousand, five hundred twenty".