45338803200 has 396 divisors, whose sum is σ = 170894777560. Its totient is φ = 11452907520.

The previous prime is 45338803129. The next prime is 45338803241. The reversal of 45338803200 is 230883354.

45338803200 is a `hidden beast` number, since 45 + 338 + 80 + 3 + 200 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4372422 + ... + 4382778.

Almost surely, 2^45338803200 is an apocalyptic number.

45338803200 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 45338803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85447388780).

45338803200 is an abundant number, since it is smaller than the sum of its proper divisors (125555974360).

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

45338803200 is a wasteful number, since it uses less digits than its factorization.

45338803200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10412 (or 10386 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

It can be divided in two parts, 45338803 and 200, that added together give a triangular number (45339003 = T₉₅₂₂).

The spelling of 45338803200 in words is "forty-five billion, three hundred thirty-eight million, eight hundred three thousand, two hundred".