1649156920320 has 1056 divisors, whose sum is σ = 6770712485376. Its totient is φ = 339384729600.

The previous prime is 1649156920283. The next prime is 1649156920321. The reversal of 1649156920320 is 230296519461.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1649156920320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1649156920321) 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, 401155065 + ... + 401159175.

Almost surely, 2^{1649156920320} is an apocalyptic number.

1649156920320 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 1649156920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3385356242688).

1649156920320 is an abundant number, since it is smaller than the sum of its proper divisors (5121555565056).

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

1649156920320 is a wasteful number, since it uses less digits than its factorization.

1649156920320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4207 (or 4182 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 1649156920320 in words is "one trillion, six hundred forty-nine billion, one hundred fifty-six million, nine hundred twenty thousand, three hundred twenty".