45316152414624 has 288 divisors, whose sum is σ = 153610923239424. Its totient is φ = 11431881077760.

The previous prime is 45316152414557. The next prime is 45316152414641. The reversal of 45316152414624 is 42641425161354.

45316152414624 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 2×45316152414624² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6062332 + ... + 11286459.

It is an arithmetic number, because the mean of its divisors is an integer number (533371261248).

Almost surely, 2^{45316152414624} is an apocalyptic number.

It is an amenable number.

45316152414624 is an abundant number, since it is smaller than the sum of its proper divisors (108294770824800).

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

45316152414624 is a wasteful number, since it uses less digits than its factorization.

45316152414624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17348860 (or 17348839 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 48.

Adding to 45316152414624 its reverse (42641425161354), we get a palindrome (87957577575978).

The spelling of 45316152414624 in words is "forty-five trillion, three hundred sixteen billion, one hundred fifty-two million, four hundred fourteen thousand, six hundred twenty-four".