45291350315988 has 288 divisors, whose sum is σ = 134864841646080. Its totient is φ = 12547692702720.

The previous prime is 45291350315917. The next prime is 45291350315989. The reversal of 45291350315988 is 88951305319254.

45291350315988 is a `hidden beast` number, since 4 + 5 + 2 + 9 + 1 + 3 + 5 + 0 + 31 + 598 + 8 = 666.

45291350315988 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45291350315988² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45291350315989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4029832473 + ... + 4029843711.

It is an arithmetic number, because the mean of its divisors is an integer number (468280700160).

Almost surely, 2^{45291350315988} 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 45291350315988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67432420823040).

45291350315988 is an abundant number, since it is smaller than the sum of its proper divisors (89573491330092).

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

45291350315988 is a wasteful number, since it uses less digits than its factorization.

45291350315988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14427 (or 14422 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 63.

The spelling of 45291350315988 in words is "forty-five trillion, two hundred ninety-one billion, three hundred fifty million, three hundred fifteen thousand, nine hundred eighty-eight".