1654944295004 has 384 divisors, whose sum is σ = 4434916147200. Its totient is φ = 518331985920.

The previous prime is 1654944294989. The next prime is 1654944295033. The reversal of 1654944295004 is 4005924494561.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55596677 + ... + 55626435.

It is an arithmetic number, because the mean of its divisors is an integer number (11549260800).

Almost surely, 2^{1654944295004} is an apocalyptic number.

1654944295004 is a gapful number since it is divisible by the number (14) 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 1654944295004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217458073600).

1654944295004 is an abundant number, since it is smaller than the sum of its proper divisors (2779971852196).

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

1654944295004 is a wasteful number, since it uses less digits than its factorization.

1654944295004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29873 (or 29871 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 53.

The spelling of 1654944295004 in words is "one trillion, six hundred fifty-four billion, nine hundred forty-four million, two hundred ninety-five thousand, four".