45179019424 has 192 divisors, whose sum is σ = 112521830400. Its totient is φ = 17345664000.

The previous prime is 45179019419. The next prime is 45179019427. The reversal of 45179019424 is 42491097154.

It is a super-2 number, since 2×45179019424² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45179019427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94319217 + ... + 94319695.

It is an arithmetic number, because the mean of its divisors is an integer number (586051200).

Almost surely, 2^45179019424 is an apocalyptic number.

45179019424 is a gapful number since it is divisible by the number (44) 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 45179019424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56260915200).

45179019424 is an abundant number, since it is smaller than the sum of its proper divisors (67342810976).

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

45179019424 is a wasteful number, since it uses less digits than its factorization.

45179019424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 45179019424 in words is "forty-five billion, one hundred seventy-nine million, nineteen thousand, four hundred twenty-four".