45617215243600 has 360 divisors, whose sum is σ = 149776684491168. Its totient is φ = 13124632550400.

The previous prime is 45617215243547. The next prime is 45617215243603. The reversal of 45617215243600 is 634251271654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45617215243603) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5334994 + ... + 10940593.

Almost surely, 2^{45617215243600} is an apocalyptic number.

45617215243600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45617215243600 is an abundant number, since it is smaller than the sum of its proper divisors (104159469247568).

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

45617215243600 is a wasteful number, since it uses less digits than its factorization.

45617215243600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16275643 (or 16275625 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 46.

The spelling of 45617215243600 in words is "forty-five trillion, six hundred seventeen billion, two hundred fifteen million, two hundred forty-three thousand, six hundred".