45738328499136 has 336 divisors, whose sum is σ = 161385607778304. Its totient is φ = 12060542158848.

The previous prime is 45738328499093. The next prime is 45738328499173. The reversal of 45738328499136 is 63199482383754.

It is a happy number.

45738328499136 is a `hidden beast` number, since 4 + 5 + 7 + 3 + 83 + 28 + 499 + 1 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282284001 + ... + 282445983.

It is an arithmetic number, because the mean of its divisors is an integer number (480314308864).

Almost surely, 2^{45738328499136} 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 45738328499136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80692803889152).

45738328499136 is an abundant number, since it is smaller than the sum of its proper divisors (115647279279168).

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

45738328499136 is a wasteful number, since it uses less digits than its factorization.

45738328499136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167408 (or 167395 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 72.

The spelling of 45738328499136 in words is "forty-five trillion, seven hundred thirty-eight billion, three hundred twenty-eight million, four hundred ninety-nine thousand, one hundred thirty-six".