45849888000 has 1620 divisors, whose sum is σ = 209474277012. Its totient is φ = 9928396800.

The previous prime is 45849887999. The next prime is 45849888013. The reversal of 45849888000 is 88894854.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1467196416 + 44382691584 = 38304^2 + 210672^2 .

It is a tau number, because it is divible by the number of its divisors (1620).

It is a super-2 number, since 2×45849888000² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2413151991 + ... + 2413152009.

Almost surely, 2^45849888000 is an apocalyptic number.

45849888000 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 45849888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104737138506).

45849888000 is an abundant number, since it is smaller than the sum of its proper divisors (163624389012).

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

45849888000 is an equidigital number, since it uses as much as digits as its factorization.

45849888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 45849888000 in words is "forty-five billion, eight hundred forty-nine million, eight hundred eighty-eight thousand".