45492496295328 has 288 divisors, whose sum is σ = 135889953937920. Its totient is φ = 14408881090560.

The previous prime is 45492496295321. The next prime is 45492496295329. The reversal of 45492496295328 is 82359269429454.

45492496295328 is a `hidden beast` number, since 4 + 5 + 4 + 9 + 2 + 4 + 9 + 6 + 295 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (45492496295321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 665167758 + ... + 665236146.

It is an arithmetic number, because the mean of its divisors is an integer number (471840117840).

Almost surely, 2^{45492496295328} is an apocalyptic number.

45492496295328 is a gapful number since it is divisible by the number (48) 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 45492496295328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67944976968960).

45492496295328 is an abundant number, since it is smaller than the sum of its proper divisors (90397457642592).

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

45492496295328 is a wasteful number, since it uses less digits than its factorization.

45492496295328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69092 (or 69081 counting only the distinct ones).

The product of its digits is 1343692800, while the sum is 72.

The spelling of 45492496295328 in words is "forty-five trillion, four hundred ninety-two billion, four hundred ninety-six million, two hundred ninety-five thousand, three hundred twenty-eight".