45182301792 has 96 divisors (see below), whose sum is σ = 125789448960. Its totient is φ = 14169745920.

The previous prime is 45182301733. The next prime is 45182301797. The reversal of 45182301792 is 29710328154.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×45182301792² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45182301797) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33042 + ... + 302417.

It is an arithmetic number, because the mean of its divisors is an integer number (1310306760).

Almost surely, 2^45182301792 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 45182301792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62894724480).

45182301792 is an abundant number, since it is smaller than the sum of its proper divisors (80607147168).

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

45182301792 is a wasteful number, since it uses less digits than its factorization.

45182301792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335556 (or 335548 counting only the distinct ones).

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

The spelling of 45182301792 in words is "forty-five billion, one hundred eighty-two million, three hundred one thousand, seven hundred ninety-two".