1425665691648 has 780 divisors, whose sum is σ = 4958984244060. Its totient is φ = 406412328960.

The previous prime is 1425665691601. The next prime is 1425665691649. The reversal of 1425665691648 is 8461965665241.

1425665691648 is a `hidden beast` number, since 1 + 4 + 2 + 5 + 6 + 6 + 569 + 1 + 64 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1187646603264 + 238019088384 = 1089792^2 + 487872^2 .

It is not an unprimeable number, because it can be changed into a prime (1425665691649) 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 59 ways as a sum of consecutive naturals, for example, 682462188 + ... + 682464276.

Almost surely, 2^{1425665691648} is an apocalyptic number.

1425665691648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1425665691648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479492122030).

1425665691648 is an abundant number, since it is smaller than the sum of its proper divisors (3533318552412).

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

1425665691648 is a wasteful number, since it uses less digits than its factorization.

1425665691648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2122 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 1425665691648 in words is "one trillion, four hundred twenty-five billion, six hundred sixty-five million, six hundred ninety-one thousand, six hundred forty-eight".