1284168458100 has 144 divisors (see below), whose sum is σ = 4056613485120. Its totient is φ = 311059276800.

The previous prime is 1284168458087. The next prime is 1284168458113. The reversal of 1284168458100 is 18548614821.

It is an interprime number because it is at equal distance from previous prime (1284168458087) and next prime (1284168458113).

It is a super-2 number, since 2×1284168458100² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1284168458100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3897384 + ... + 4214016.

It is an arithmetic number, because the mean of its divisors is an integer number (28170926980).

Almost surely, 2^{1284168458100} is an apocalyptic number.

1284168458100 is a gapful number since it is divisible by the number (10) 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 1284168458100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028306742560).

1284168458100 is an abundant number, since it is smaller than the sum of its proper divisors (2772445027020).

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

1284168458100 is a wasteful number, since it uses less digits than its factorization.

1284168458100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317890 (or 317883 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 48.

The spelling of 1284168458100 in words is "one trillion, two hundred eighty-four billion, one hundred sixty-eight million, four hundred fifty-eight thousand, one hundred".