654394000902642 has 384 divisors, whose sum is σ = 1988369859006720. Its totient is φ = 156818757473280.

The previous prime is 654394000902581. The next prime is 654394000902683. The reversal of 654394000902642 is 246209000493456.

654394000902642 is a `hidden beast` number, since 6 + 543 + 9 + 4 + 0 + 0 + 0 + 90 + 2 + 6 + 4 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 753673468 + ... + 754541240.

It is an arithmetic number, because the mean of its divisors is an integer number (5178046507830).

Almost surely, 2^{654394000902642} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 654394000902642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994184929503360).

654394000902642 is an abundant number, since it is smaller than the sum of its proper divisors (1333975858104078).

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

654394000902642 is a wasteful number, since it uses less digits than its factorization.

654394000902642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869815 (or 869802 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 654394000902642 in words is "six hundred fifty-four trillion, three hundred ninety-four billion, nine hundred two thousand, six hundred forty-two".