45729018720 has 1152 divisors, whose sum is σ = 208496332800. Its totient is φ = 9251020800.

The previous prime is 45729018707. The next prime is 45729018733. The reversal of 45729018720 is 2781092754.

It is a happy number.

45729018720 is a `hidden beast` number, since 4 + 572 + 9 + 0 + 1 + 8 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45729018707) and next prime (45729018733).

It is a super-2 number, since 2×45729018720² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 95467441 + ... + 95467919.

It is an arithmetic number, because the mean of its divisors is an integer number (180986400).

Almost surely, 2^45729018720 is an apocalyptic number.

45729018720 is a gapful number since it is divisible by the number (40) 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 45729018720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104248166400).

45729018720 is an abundant number, since it is smaller than the sum of its proper divisors (162767314080).

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

45729018720 is a wasteful number, since it uses less digits than its factorization.

45729018720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 45729018720 in words is "forty-five billion, seven hundred twenty-nine million, eighteen thousand, seven hundred twenty".