1649319967008 has 288 divisors, whose sum is σ = 5592565883520. Its totient is φ = 463241341440.

The previous prime is 1649319966971. The next prime is 1649319967037. The reversal of 1649319967008 is 8007699139461.

1649319967008 is a `hidden beast` number, since 164 + 9 + 319 + 96 + 70 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 21013918 + ... + 21092258.

It is an arithmetic number, because the mean of its divisors is an integer number (19418631540).

Almost surely, 2^{1649319967008} is an apocalyptic number.

1649319967008 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 1649319967008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796282941760).

1649319967008 is an abundant number, since it is smaller than the sum of its proper divisors (3943245916512).

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

1649319967008 is an equidigital number, since it uses as much as digits as its factorization.

1649319967008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78485 (or 78412 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 1649319967008 in words is "one trillion, six hundred forty-nine billion, three hundred nineteen million, nine hundred sixty-seven thousand, eight".