1631122375680 has 2112 divisors, whose sum is σ = 7416268554240. Its totient is φ = 334939815936.

The previous prime is 1631122375661. The next prime is 1631122375711. The reversal of 1631122375680 is 865732211361.

It is a happy number.

1631122375680 is a `hidden beast` number, since 1 + 6 + 31 + 1 + 22 + 37 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3405265681 + ... + 3405266159.

Almost surely, 2^{1631122375680} is an apocalyptic number.

1631122375680 is a gapful number since it is divisible by the number (10) 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 1631122375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3708134277120).

1631122375680 is an abundant number, since it is smaller than the sum of its proper divisors (5785146178560).

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

1631122375680 is a wasteful number, since it uses less digits than its factorization.

1631122375680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1631122375680 in words is "one trillion, six hundred thirty-one billion, one hundred twenty-two million, three hundred seventy-five thousand, six hundred eighty".