45142353000 has 768 divisors, whose sum is σ = 169997667840. Its totient is φ = 11176704000.

The previous prime is 45142352999. The next prime is 45142353001. The reversal of 45142353000 is 35324154.

It is an interprime number because it is at equal distance from previous prime (45142352999) and next prime (45142353001).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (45142353001) 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, 229148902 + ... + 229149098.

It is an arithmetic number, because the mean of its divisors is an integer number (221351130).

Almost surely, 2^45142353000 is an apocalyptic number.

45142353000 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 45142353000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84998833920).

45142353000 is an abundant number, since it is smaller than the sum of its proper divisors (124855314840).

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

45142353000 is a wasteful number, since it uses less digits than its factorization.

45142353000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 45142353000 its reverse (35324154), we get a palindrome (45177677154).

The spelling of 45142353000 in words is "forty-five billion, one hundred forty-two million, three hundred fifty-three thousand".