45351255200 has 144 divisors (see below), whose sum is σ = 115574649624. Its totient is φ = 17360179200.

The previous prime is 45351255143. The next prime is 45351255241. The reversal of 45351255200 is 255215354.

It can be written as a sum of positive squares in 12 ways, for example, as 2185375504 + 43165879696 = 46748^2 + 207764^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1793042 + ... + 1818158.

Almost surely, 2^45351255200 is an apocalyptic number.

45351255200 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 45351255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57787324812).

45351255200 is an abundant number, since it is smaller than the sum of its proper divisors (70223394424).

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

45351255200 is a wasteful number, since it uses less digits than its factorization.

45351255200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25235 (or 25222 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 32.

The spelling of 45351255200 in words is "forty-five billion, three hundred fifty-one million, two hundred fifty-five thousand, two hundred".