1631873392704 has 567 divisors, whose sum is σ = 5185592637303. Its totient is φ = 490540032000.

The previous prime is 1631873392657. The next prime is 1631873392727. The reversal of 1631873392704 is 4072933781361.

The square root of 1631873392704 is 1277448.

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

1631873392704 is a `hidden beast` number, since 1 + 6 + 3 + 187 + 3 + 392 + 70 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 971801640000 + 660071752704 = 985800^2 + 812448^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16157162254 + ... + 16157162354.

Almost surely, 2^{1631873392704} is an apocalyptic number.

1631873392704 is the 1277448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1631873392704

1631873392704 is an abundant number, since it is smaller than the sum of its proper divisors (3553719244599).

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

1631873392704 is a wasteful number, since it uses less digits than its factorization.

1631873392704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 1631873392704 in words is "one trillion, six hundred thirty-one billion, eight hundred seventy-three million, three hundred ninety-two thousand, seven hundred four".