45589698000 has 1440 divisors, whose sum is σ = 209160327168. Its totient is φ = 9144576000.

The previous prime is 45589697977. The next prime is 45589698001. The reversal of 45589698000 is 89698554.

It is a happy number.

45589698000 is a `hidden beast` number, since 4 + 558 + 9 + 6 + 9 + 80 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45589698001) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 358973937 + ... + 358974063.

Almost surely, 2^45589698000 is an apocalyptic number.

45589698000 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 45589698000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104580163584).

45589698000 is an abundant number, since it is smaller than the sum of its proper divisors (163570629168).

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

45589698000 is a wasteful number, since it uses less digits than its factorization.

45589698000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

It can be divided in two parts, 45 and 589698000, that multiplied together give a square (26536410000 = 162900²).

The spelling of 45589698000 in words is "forty-five billion, five hundred eighty-nine million, six hundred ninety-eight thousand".