45927729000000 has 1029 divisors, whose sum is σ = 171486324146173. Its totient is φ = 12198600000000.

The previous prime is 45927728999981. The next prime is 45927729000031. The reversal of 45927729000000 is 92772954.

The square root of 45927729000000 is 6777000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 40237099665984 + 5690629334016 = 6343272^2 + 2385504^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 45927729000000.

It is an unprimeable number.

It is a polite number, since it can be written in 146 ways as a sum of consecutive naturals, for example, 182978999875 + ... + 182979000125.

Almost surely, 2^{45927729000000} is an apocalyptic number.

45927729000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

45927729000000 is the 6777000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45927729000000

45927729000000 is an abundant number, since it is smaller than the sum of its proper divisors (125558595146173).

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

45927729000000 is an frugal number, since it uses more digits than its factorization.

45927729000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 45927729000000 in words is "forty-five trillion, nine hundred twenty-seven billion, seven hundred twenty-nine million", and thus it is an aban number.