1649089403136 has 864 divisors, whose sum is σ = 5936212009728. Its totient is φ = 429557022720.

The previous prime is 1649089403077. The next prime is 1649089403183. The reversal of 1649089403136 is 6313049809461.

1649089403136 is a `hidden beast` number, since 1 + 6 + 490 + 8 + 94 + 0 + 31 + 36 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1615170306 + ... + 1615171326.

It is an arithmetic number, because the mean of its divisors is an integer number (6870615752).

Almost surely, 2^{1649089403136} is an apocalyptic number.

1649089403136 is a gapful number since it is divisible by the number (16) 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 1649089403136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968106004864).

1649089403136 is an abundant number, since it is smaller than the sum of its proper divisors (4287122606592).

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

1649089403136 is a wasteful number, since it uses less digits than its factorization.

1649089403136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 1649089403136 in words is "one trillion, six hundred forty-nine billion, eighty-nine million, four hundred three thousand, one hundred thirty-six".