1671234421248 has 360 divisors, whose sum is σ = 5555319561792. Its totient is φ = 473784164352.

The previous prime is 1671234421141. The next prime is 1671234421303. The reversal of 1671234421248 is 8421244321761.

1671234421248 is a `hidden beast` number, since 1 + 67 + 1 + 2 + 344 + 2 + 1 + 248 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3000420586 + ... + 3000421142.

Almost surely, 2^{1671234421248} is an apocalyptic number.

1671234421248 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 1671234421248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2777659780896).

1671234421248 is an abundant number, since it is smaller than the sum of its proper divisors (3884085140544).

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

1671234421248 is an frugal number, since it uses more digits than its factorization.

1671234421248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 736 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The spelling of 1671234421248 in words is "one trillion, six hundred seventy-one billion, two hundred thirty-four million, four hundred twenty-one thousand, two hundred forty-eight".