1490068850688 has 1152 divisors, whose sum is σ = 5332664937600. Its totient is φ = 394946150400.

The previous prime is 1490068850687. The next prime is 1490068850717. The reversal of 1490068850688 is 8860588600941.

1490068850688 is a `hidden beast` number, since 1 + 49 + 0 + 0 + 6 + 8 + 8 + 506 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (1490068850687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3994822470 + ... + 3994822842.

It is an arithmetic number, because the mean of its divisors is an integer number (4629049425).

Almost surely, 2^{1490068850688} is an apocalyptic number.

1490068850688 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 1490068850688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2666332468800).

1490068850688 is an abundant number, since it is smaller than the sum of its proper divisors (3842596086912).

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

1490068850688 is a wasteful number, since it uses less digits than its factorization.

1490068850688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 1490068850688 in words is "one trillion, four hundred ninety billion, sixty-eight million, eight hundred fifty thousand, six hundred eighty-eight".