1631741156864 has 320 divisors, whose sum is σ = 4111330608000. Its totient is φ = 642882207744.

The previous prime is 1631741156863. The next prime is 1631741156869. The reversal of 1631741156864 is 4686511471361.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1631741156863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 614127824 + ... + 614130480.

It is an arithmetic number, because the mean of its divisors is an integer number (12847908150).

Almost surely, 2^{1631741156864} is an apocalyptic number.

1631741156864 is a gapful number since it is divisible by the number (14) 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 1631741156864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055665304000).

1631741156864 is an abundant number, since it is smaller than the sum of its proper divisors (2479589451136).

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

1631741156864 is an equidigital number, since it uses as much as digits as its factorization.

1631741156864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978 (or 2948 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 53.

The spelling of 1631741156864 in words is "one trillion, six hundred thirty-one billion, seven hundred forty-one million, one hundred fifty-six thousand, eight hundred sixty-four".