45279999072 has 288 divisors, whose sum is σ = 161315691264. Its totient is φ = 11704089600.

The previous prime is 45279999059. The next prime is 45279999101. The reversal of 45279999072 is 27099997254.

45279999072 is a `hidden beast` number, since 452 + 7 + 9 + 99 + 90 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×45279999072² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4674298 + ... + 4683974.

It is an arithmetic number, because the mean of its divisors is an integer number (560123928).

Almost surely, 2^45279999072 is an apocalyptic number.

45279999072 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 45279999072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80657845632).

45279999072 is an abundant number, since it is smaller than the sum of its proper divisors (116035692192).

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

45279999072 is a wasteful number, since it uses less digits than its factorization.

45279999072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9922 (or 9911 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The spelling of 45279999072 in words is "forty-five billion, two hundred seventy-nine million, nine hundred ninety-nine thousand, seventy-two".