45142161792 has 384 divisors, whose sum is σ = 151201209600. Its totient is φ = 11827630080.

The previous prime is 45142161791. The next prime is 45142161793. The reversal of 45142161792 is 29716124154.

It is an interprime number because it is at equal distance from previous prime (45142161791) and next prime (45142161793).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45142161791) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43784317 + ... + 43785347.

It is an arithmetic number, because the mean of its divisors is an integer number (393753150).

Almost surely, 2^45142161792 is an apocalyptic number.

45142161792 is a gapful number since it is divisible by the number (42) 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 45142161792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75600604800).

45142161792 is an abundant number, since it is smaller than the sum of its proper divisors (106059047808).

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

45142161792 is a wasteful number, since it uses less digits than its factorization.

45142161792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1235 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The spelling of 45142161792 in words is "forty-five billion, one hundred forty-two million, one hundred sixty-one thousand, seven hundred ninety-two".