45301834368 has 288 divisors, whose sum is σ = 159629184000. Its totient is φ = 12261860352.

The previous prime is 45301834363. The next prime is 45301834381. The reversal of 45301834368 is 86343810354.

45301834368 is a `hidden beast` number, since 4 + 5 + 30 + 183 + 436 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (45301834363) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1051393 + ... + 1093631.

It is an arithmetic number, because the mean of its divisors is an integer number (554268000).

Almost surely, 2^45301834368 is an apocalyptic number.

45301834368 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 45301834368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79814592000).

45301834368 is an abundant number, since it is smaller than the sum of its proper divisors (114327349632).

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

45301834368 is a wasteful number, since it uses less digits than its factorization.

45301834368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42292 (or 42270 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 45301834368 in words is "forty-five billion, three hundred one million, eight hundred thirty-four thousand, three hundred sixty-eight".