45161852400 has 960 divisors, whose sum is σ = 201929932800. Its totient is φ = 9347374080.

The previous prime is 45161852383. The next prime is 45161852413. The reversal of 45161852400 is 425816154.

It is a happy number.

45161852400 is a `hidden beast` number, since 45 + 161 + 8 + 52 + 400 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33036517 + ... + 33037883.

It is an arithmetic number, because the mean of its divisors is an integer number (210343680).

Almost surely, 2^45161852400 is an apocalyptic number.

45161852400 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 45161852400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100964966400).

45161852400 is an abundant number, since it is smaller than the sum of its proper divisors (156768080400).

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

45161852400 is a wasteful number, since it uses less digits than its factorization.

45161852400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 45161852400 in words is "forty-five billion, one hundred sixty-one million, eight hundred fifty-two thousand, four hundred".