42048783364 has 81 divisors (see below), whose sum is σ = 87067454229. Its totient is φ = 17717011200.

The previous prime is 42048783353. The next prime is 42048783367. The reversal of 42048783364 is 46338784024.

The square root of 42048783364 is 205058.

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

It can be written as a sum of positive squares in only one way, i.e., 18881508100 + 23167275264 = 137410^2 + 152208^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (42048783367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 278468689 + ... + 278468839.

Almost surely, 2^42048783364 is an apocalyptic number.

42048783364 is the 205058-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42048783364

42048783364 is an abundant number, since it is smaller than the sum of its proper divisors (45018670865).

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

42048783364 is an equidigital number, since it uses as much as digits as its factorization.

42048783364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 49.

Multiplying 42048783364 by its sum of digits (49), we get a square (2060390384836 = 1435406²).

42048783364 divided by its sum of digits (49) gives a square (858138436 = 29294²).

The spelling of 42048783364 in words is "forty-two billion, forty-eight million, seven hundred eighty-three thousand, three hundred sixty-four".