45159849000 has 768 divisors, whose sum is σ = 183162470400. Its totient is φ = 10194336000.

The previous prime is 45159848933. The next prime is 45159849001. The reversal of 45159849000 is 94895154.

45159849000 is a `hidden beast` number, since 4 + 5 + 159 + 8 + 490 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45159849001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 236438905 + ... + 236439095.

It is an arithmetic number, because the mean of its divisors is an integer number (238492800).

Almost surely, 2^45159849000 is an apocalyptic number.

45159849000 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 45159849000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91581235200).

45159849000 is an abundant number, since it is smaller than the sum of its proper divisors (138002621400).

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

45159849000 is a wasteful number, since it uses less digits than its factorization.

45159849000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 45159849000 in words is "forty-five billion, one hundred fifty-nine million, eight hundred forty-nine thousand".