45367838208 has 400 divisors, whose sum is σ = 168836050944. Its totient is φ = 11783024640.

The previous prime is 45367838203. The next prime is 45367838209. The reversal of 45367838208 is 80283876354.

45367838208 is a `hidden beast` number, since 4 + 536 + 7 + 83 + 8 + 20 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45367838203) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3186241 + ... + 3200447.

Almost surely, 2^45367838208 is an apocalyptic number.

45367838208 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 45367838208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84418025472).

45367838208 is an abundant number, since it is smaller than the sum of its proper divisors (123468212736).

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

45367838208 is a wasteful number, since it uses less digits than its factorization.

45367838208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14255 (or 14230 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 45367838208 in words is "forty-five billion, three hundred sixty-seven million, eight hundred thirty-eight thousand, two hundred eight".