1654329690090 has 768 divisors, whose sum is σ = 5745033216000. Its totient is φ = 326794406400.

The previous prime is 1654329690073. The next prime is 1654329690131. The reversal of 1654329690090 is 900969234561.

1654329690090 is a `hidden beast` number, since 1 + 6 + 543 + 2 + 9 + 6 + 9 + 0 + 0 + 90 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1491730456 + ... + 1491731564.

It is an arithmetic number, because the mean of its divisors is an integer number (7480512000).

Almost surely, 2^{1654329690090} is an apocalyptic number.

1654329690090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1654329690090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872516608000).

1654329690090 is an abundant number, since it is smaller than the sum of its proper divisors (4090703525910).

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

1654329690090 is a wasteful number, since it uses less digits than its factorization.

1654329690090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 1654329690090 in words is "one trillion, six hundred fifty-four billion, three hundred twenty-nine million, six hundred ninety thousand, ninety".