1675429939456 has 405 divisors, whose sum is σ = 4258194595641. Its totient is φ = 657588492288.

The previous prime is 1675429939427. The next prime is 1675429939459. The reversal of 1675429939456 is 6549399245761.

The square root of 1675429939456 is 1294384.

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., 247844665600 + 1427585273856 = 497840^2 + 1194816^2 .

Its product of digits (440899200) is a multiple of the sum of its prime factors (324).

It is not an unprimeable number, because it can be changed into a prime (1675429939459) 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 44 ways as a sum of consecutive naturals, for example, 13192361665 + ... + 13192361791.

Almost surely, 2^{1675429939456} is an apocalyptic number.

1675429939456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1675429939456 is the 1294384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1675429939456

1675429939456 is an abundant number, since it is smaller than the sum of its proper divisors (2582764656185).

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

1675429939456 is an frugal number, since it uses more digits than its factorization.

1675429939456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 149 counting only the distinct ones).

The product of its digits is 440899200, while the sum is 70.

The spelling of 1675429939456 in words is "one trillion, six hundred seventy-five billion, four hundred twenty-nine million, nine hundred thirty-nine thousand, four hundred fifty-six".