1231701147648 has 760 divisors, whose sum is σ = 4019477742720. Its totient is φ = 374561832960.

The previous prime is 1231701147623. The next prime is 1231701147707. The reversal of 1231701147648 is 8467411071321.

1231701147648 is a `hidden beast` number, since 1 + 2 + 3 + 170 + 1 + 1 + 476 + 4 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 17347903453 + ... + 17347903523.

Almost surely, 2^{1231701147648} is an apocalyptic number.

1231701147648 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 1231701147648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009738871360).

1231701147648 is an abundant number, since it is smaller than the sum of its proper divisors (2787776595072).

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

1231701147648 is an frugal number, since it uses more digits than its factorization.

1231701147648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 1231701147648 in words is "one trillion, two hundred thirty-one billion, seven hundred one million, one hundred forty-seven thousand, six hundred forty-eight".