1649325888 has 420 divisors, whose sum is σ = 5858146272. Its totient is φ = 457228800.

The previous prime is 1649325877. The next prime is 1649325911. The reversal of 1649325888 is 8885239461.

1649325888 is a `hidden beast` number, since 16 + 49 + 3 + 2 + 588 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10922613 + ... + 10922763.

Almost surely, 2^1649325888 is an apocalyptic number.

1649325888 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 1649325888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2929073136).

1649325888 is an abundant number, since it is smaller than the sum of its proper divisors (4208820384).

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

1649325888 is a wasteful number, since it uses less digits than its factorization.

1649325888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 206 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 1649325888 is about 40611.8934303733. The cubic root of 1649325888 is about 1181.5048042922.

It can be divided in two parts, 164932 and 5888, that added together give a triangular number (170820 = T₅₈₄).

The spelling of 1649325888 in words is "one billion, six hundred forty-nine million, three hundred twenty-five thousand, eight hundred eighty-eight".