45349134336000 has 3264 divisors, whose sum is σ = 196488221529600. Its totient is φ = 10319560704000.

The previous prime is 45349134335971. The next prime is 45349134336013. The reversal of 45349134336000 is 63343194354.

45349134336000 is a `hidden beast` number, since 4 + 5 + 3 + 4 + 9 + 1 + 3 + 4 + 33 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 416047103946 + ... + 416047104054.

Almost surely, 2^{45349134336000} is an apocalyptic number.

45349134336000 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 45349134336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98244110764800).

45349134336000 is an abundant number, since it is smaller than the sum of its proper divisors (151139087193600).

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

45349134336000 is an equidigital number, since it uses as much as digits as its factorization.

45349134336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 45349134336000 in words is "forty-five trillion, three hundred forty-nine billion, one hundred thirty-four million, three hundred thirty-six thousand".