45785359854144 has 105 divisors (see below), whose sum is σ = 135723594051507. Its totient is φ = 15261624222336.

The previous prime is 45785359854071. The next prime is 45785359854151. The reversal of 45785359854144 is 44145895358754.

The square root of 45785359854144 is 6766488.

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

45785359854144 is a `hidden beast` number, since 4 + 5 + 7 + 8 + 5 + 35 + 9 + 8 + 541 + 44 = 666.

It is a super-2 number, since 2×45785359854144² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 14 ways as a sum of consecutive naturals, for example, 487140147 + ... + 487234125.

Almost surely, 2^{45785359854144} is an apocalyptic number.

45785359854144 is the 6766488-th square number.

It is an amenable number.

45785359854144 is an abundant number, since it is smaller than the sum of its proper divisors (89938234197363).

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

45785359854144 is an frugal number, since it uses more digits than its factorization.

45785359854144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187982 (or 93984 counting only the distinct ones).

The product of its digits is 1935360000, while the sum is 72.

The spelling of 45785359854144 in words is "forty-five trillion, seven hundred eighty-five billion, three hundred fifty-nine million, eight hundred fifty-four thousand, one hundred forty-four".