45551450013696 has 450 divisors, whose sum is σ = 149584674624770. Its totient is φ = 13803421040640.

The previous prime is 45551450013691. The next prime is 45551450013793. The reversal of 45551450013696 is 69631005415554.

45551450013696 is a `hidden beast` number, since 4 + 5 + 5 + 5 + 14 + 500 + 1 + 36 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34274748727296 + 11276701286400 = 5854464^2 + 3358080^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45551450013691) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 160437750 + ... + 160721418.

Almost surely, 2^{45551450013696} 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 45551450013696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74792337312385).

45551450013696 is an abundant number, since it is smaller than the sum of its proper divisors (104033224611074).

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

45551450013696 is an equidigital number, since it uses as much as digits as its factorization.

45551450013696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283731 (or 283685 counting only the distinct ones).

The product of its (nonzero) digits is 9720000, while the sum is 54.

The spelling of 45551450013696 in words is "forty-five trillion, five hundred fifty-one billion, four hundred fifty million, thirteen thousand, six hundred ninety-six".