1641348134496 has 432 divisors, whose sum is σ = 5812414433280. Its totient is φ = 453825711360.

The previous prime is 1641348134477. The next prime is 1641348134497. The reversal of 1641348134496 is 6944318431461.

It is a happy number.

1641348134496 is a `hidden beast` number, since 1 + 6 + 4 + 13 + 4 + 8 + 134 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×1641348134496² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (1641348134497) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11742265 + ... + 11881223.

It is an arithmetic number, because the mean of its divisors is an integer number (13454663040).

Almost surely, 2^{1641348134496} is an apocalyptic number.

1641348134496 is a gapful number since it is divisible by the number (16) 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 1641348134496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906207216640).

1641348134496 is an abundant number, since it is smaller than the sum of its proper divisors (4171066298784).

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

1641348134496 is a wasteful number, since it uses less digits than its factorization.

1641348134496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139029 (or 139002 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 1641348134496 in words is "one trillion, six hundred forty-one billion, three hundred forty-eight million, one hundred thirty-four thousand, four hundred ninety-six".