1654494336 has 320 divisors, whose sum is σ = 5465037600. Its totient is φ = 492687360.

The previous prime is 1654494319. The next prime is 1654494367. The reversal of 1654494336 is 6334944561.

1654494336 is a `hidden beast` number, since 16 + 544 + 94 + 3 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1654494291 and 1654494300.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10150191 + ... + 10150353.

Almost surely, 2^1654494336 is an apocalyptic number.

1654494336 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 1654494336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2732518800).

1654494336 is an abundant number, since it is smaller than the sum of its proper divisors (3810543264).

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

1654494336 is a wasteful number, since it uses less digits than its factorization.

1654494336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 268 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 1654494336 is about 40675.4758546228. The cubic root of 1654494336 is about 1182.7376672917.

The spelling of 1654494336 in words is "one billion, six hundred fifty-four million, four hundred ninety-four thousand, three hundred thirty-six".