1975564395648 has 96 divisors (see below), whose sum is σ = 5778087498300. Its totient is φ = 647726008320.

The previous prime is 1975564395583. The next prime is 1975564395667. The reversal of 1975564395648 is 8465934655791.

It is a happy number.

1975564395648 is a `hidden beast` number, since 1 + 9 + 7 + 5 + 56 + 4 + 3 + 9 + 564 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1364803389504 + 610761006144 = 1168248^2 + 781512^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13986283 + ... + 14126826.

Almost surely, 2^{1975564395648} is an apocalyptic number.

1975564395648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1975564395648 is an abundant number, since it is smaller than the sum of its proper divisors (3802523102652).

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

1975564395648 is a wasteful number, since it uses less digits than its factorization.

1975564395648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28113190 (or 28113175 counting only the distinct ones).

The product of its digits is 979776000, while the sum is 72.

The spelling of 1975564395648 in words is "one trillion, nine hundred seventy-five billion, five hundred sixty-four million, three hundred ninety-five thousand, six hundred forty-eight".