45151205340340 has 192 divisors, whose sum is σ = 106319961538560. Its totient is φ = 15963859584000.

The previous prime is 45151205340301. The next prime is 45151205340343. The reversal of 45151205340340 is 4304350215154.

It is a self number, because there is not a number n which added to its sum of digits gives 45151205340340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45151205340343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3844940509 + ... + 3844952251.

It is an arithmetic number, because the mean of its divisors is an integer number (553749799680).

Almost surely, 2^{45151205340340} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45151205340340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53159980769280).

45151205340340 is an abundant number, since it is smaller than the sum of its proper divisors (61168756198220).

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

45151205340340 is a wasteful number, since it uses less digits than its factorization.

45151205340340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13214 (or 13212 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

Adding to 45151205340340 its reverse (4304350215154), we get a palindrome (49455555555494).

The spelling of 45151205340340 in words is "forty-five trillion, one hundred fifty-one billion, two hundred five million, three hundred forty thousand, three hundred forty".