45142115004 has 288 divisors, whose sum is σ = 137418817536. Its totient is φ = 12227241600.

The previous prime is 45142114999. The next prime is 45142115009. The reversal of 45142115004 is 40051124154.

45142115004 is a `hidden beast` number, since 4 + 5 + 142 + 11 + 500 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (45142114999) and next prime (45142115009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45142115009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76902799 + ... + 76903385.

It is an arithmetic number, because the mean of its divisors is an integer number (477148672).

Almost surely, 2^45142115004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45142115004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68709408768).

45142115004 is an abundant number, since it is smaller than the sum of its proper divisors (92276702532).

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

45142115004 is a wasteful number, since it uses less digits than its factorization.

45142115004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 45142115004 its reverse (40051124154), we get a palindrome (85193239158).

The spelling of 45142115004 in words is "forty-five billion, one hundred forty-two million, one hundred fifteen thousand, four".