45157609728000 has 9216 divisors, whose sum is σ = 241617464524800. Its totient is φ = 8174960640000.

The previous prime is 45157609727947. The next prime is 45157609728001. The reversal of 45157609728000 is 82790675154.

45157609728000 is a `hidden beast` number, since 4 + 5 + 1 + 5 + 7 + 609 + 7 + 28 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (9216).

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

It is not an unprimeable number, because it can be changed into a prime (45157609728001) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1456697087985 + ... + 1456697088015.

It is an arithmetic number, because the mean of its divisors is an integer number (26217172800).

Almost surely, 2^{45157609728000} is an apocalyptic number.

45157609728000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45157609728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120808732262400).

45157609728000 is an abundant number, since it is smaller than the sum of its proper divisors (196459854796800).

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

45157609728000 is a wasteful number, since it uses less digits than its factorization.

45157609728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 45157609728000 in words is "forty-five trillion, one hundred fifty-seven billion, six hundred nine million, seven hundred twenty-eight thousand".