1629748411456 has 189 divisors, whose sum is σ = 3617343842133. Its totient is φ = 727977507840.

The previous prime is 1629748411451. The next prime is 1629748411469. The reversal of 1629748411456 is 6541148479261.

The square root of 1629748411456 is 1276616.

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., 312946261056 + 1316802150400 = 559416^2 + 1147520^2 .

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 1629748411456.

It is not an unprimeable number, because it can be changed into a prime (1629748411451) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9998456431 + ... + 9998456593.

Almost surely, 2^{1629748411456} is an apocalyptic number.

1629748411456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1629748411456 is the 1276616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1629748411456

1629748411456 is an abundant number, since it is smaller than the sum of its proper divisors (1987595430677).

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

1629748411456 is an frugal number, since it uses more digits than its factorization.

1629748411456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 265 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 58.

The spelling of 1629748411456 in words is "one trillion, six hundred twenty-nine billion, seven hundred forty-eight million, four hundred eleven thousand, four hundred fifty-six".