45323761950720 has 2688 divisors, whose sum is σ = 189937630052352. Its totient is φ = 9869407027200.

The previous prime is 45323761950713. The next prime is 45323761950739. The reversal of 45323761950720 is 2705916732354.

45323761950720 is a `hidden beast` number, since 4 + 5 + 32 + 3 + 76 + 19 + 507 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 271399772077 + ... + 271399772243.

It is an arithmetic number, because the mean of its divisors is an integer number (70661320704).

Almost surely, 2^{45323761950720} is an apocalyptic number.

45323761950720 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 45323761950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94968815026176).

45323761950720 is an abundant number, since it is smaller than the sum of its proper divisors (144613868101632).

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

45323761950720 is a wasteful number, since it uses less digits than its factorization.

45323761950720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 45323761950720 in words is "forty-five trillion, three hundred twenty-three billion, seven hundred sixty-one million, nine hundred fifty thousand, seven hundred twenty".