45737143423488 has 480 divisors, whose sum is σ = 154483469300160. Its totient is φ = 13381806735360.

The previous prime is 45737143423487. The next prime is 45737143423501. The reversal of 45737143423488 is 88432434173754.

45737143423488 is a `hidden beast` number, since 4 + 5 + 7 + 3 + 7 + 143 + 4 + 2 + 3 + 488 = 666.

It is a super-2 number, since 2×45737143423488² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45737143423481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39112506 + ... + 40264902.

It is an arithmetic number, because the mean of its divisors is an integer number (321840561042).

Almost surely, 2^{45737143423488} is an apocalyptic number.

45737143423488 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 45737143423488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77241734650080).

45737143423488 is an abundant number, since it is smaller than the sum of its proper divisors (108746325876672).

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

45737143423488 is a wasteful number, since it uses less digits than its factorization.

45737143423488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152470 (or 1152442 counting only the distinct ones).

The product of its digits is 216760320, while the sum is 63.

The spelling of 45737143423488 in words is "forty-five trillion, seven hundred thirty-seven billion, one hundred forty-three million, four hundred twenty-three thousand, four hundred eighty-eight".