1471668769890 has 384 divisors, whose sum is σ = 4485395865600. Its totient is φ = 330830438400.

The previous prime is 1471668769843. The next prime is 1471668769919. The reversal of 1471668769890 is 989678661741.

1471668769890 is a `hidden beast` number, since 1 + 471 + 6 + 6 + 8 + 7 + 69 + 8 + 90 = 666.

It is a super-2 number, since 2×1471668769890² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 318471780 + ... + 318476400.

It is an arithmetic number, because the mean of its divisors is an integer number (11680718400).

Almost surely, 2^{1471668769890} is an apocalyptic number.

1471668769890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1471668769890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2242697932800).

1471668769890 is an abundant number, since it is smaller than the sum of its proper divisors (3013727095710).

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

1471668769890 is a wasteful number, since it uses less digits than its factorization.

1471668769890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4938 (or 4935 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 1471668769890 in words is "one trillion, four hundred seventy-one billion, six hundred sixty-eight million, seven hundred sixty-nine thousand, eight hundred ninety".