45724644000000 has 2835 divisors, whose sum is σ = 200968028728649. Its totient is φ = 9996940800000.

The previous prime is 45724643999989. The next prime is 45724644000011. The reversal of 45724644000000 is 44642754.

The square root of 45724644000000 is 6762000.

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

45724644000000 is a `hidden beast` number, since 4 + 5 + 7 + 2 + 4 + 644 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45724643999989) and next prime (45724644000011).

It can be written as a sum of positive squares in 3 ways, for example, as 40059177709824 + 5665466290176 = 6329232^2 + 2380224^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 1988027999989 + ... + 1988028000011.

Almost surely, 2^{45724644000000} is an apocalyptic number.

45724644000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

45724644000000 is the 6762000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45724644000000

45724644000000 is an abundant number, since it is smaller than the sum of its proper divisors (155243384728649).

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

45724644000000 is an frugal number, since it uses more digits than its factorization.

45724644000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

45724644000000 divided by its sum of digits (36) gives a square (1270129000000 = 1127000²).

Adding to 45724644000000 its reverse (44642754), we get a palindrome (45724688642754).

The spelling of 45724644000000 in words is "forty-five trillion, seven hundred twenty-four billion, six hundred forty-four million", and thus it is an aban number.