1954094598144 has 288 divisors, whose sum is σ = 6086574748800. Its totient is φ = 600403968000.

The previous prime is 1954094598119. The next prime is 1954094598161. The reversal of 1954094598144 is 4418954904591.

1954094598144 is a `hidden beast` number, since 1 + 9 + 540 + 9 + 4 + 5 + 9 + 81 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179946187 + ... + 179957045.

It is an arithmetic number, because the mean of its divisors is an integer number (21133940100).

Almost surely, 2^{1954094598144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1954094598144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3043287374400).

1954094598144 is an abundant number, since it is smaller than the sum of its proper divisors (4132480150656).

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

1954094598144 is a wasteful number, since it uses less digits than its factorization.

1954094598144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11651 (or 11628 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 1954094598144 in words is "one trillion, nine hundred fifty-four billion, ninety-four million, five hundred ninety-eight thousand, one hundred forty-four".