1349468161632 has 72 divisors (see below), whose sum is σ = 4063288339656. Its totient is φ = 423362558976.

The previous prime is 1349468161609. The next prime is 1349468161633. The reversal of 1349468161632 is 2361618649431.

It is a happy number.

1349468161632 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 468 + 16 + 163 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349468161633) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137808438 + ... + 137818229.

It is an arithmetic number, because the mean of its divisors is an integer number (56434560273).

Almost surely, 2^{1349468161632} is an apocalyptic number.

1349468161632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1349468161632 is an abundant number, since it is smaller than the sum of its proper divisors (2713820178024).

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

1349468161632 is a wasteful number, since it uses less digits than its factorization.

1349468161632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275626700 (or 275626689 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 1349468161632 in words is "one trillion, three hundred forty-nine billion, four hundred sixty-eight million, one hundred sixty-one thousand, six hundred thirty-two".