1920582918144 has 672 divisors, whose sum is σ = 6331712325120. Its totient is φ = 576892108800.

The previous prime is 1920582918143. The next prime is 1920582918167. The reversal of 1920582918144 is 4418192850291.

1920582918144 is a `hidden beast` number, since 1 + 9 + 2 + 0 + 582 + 9 + 18 + 1 + 44 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1920582918143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3043712709 + ... + 3043713339.

It is an arithmetic number, because the mean of its divisors is an integer number (9422190960).

Almost surely, 2^{1920582918144} 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 1920582918144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3165856162560).

1920582918144 is an abundant number, since it is smaller than the sum of its proper divisors (4411129406976).

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

1920582918144 is an equidigital number, since it uses as much as digits as its factorization.

1920582918144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 1920582918144 in words is "one trillion, nine hundred twenty billion, five hundred eighty-two million, nine hundred eighteen thousand, one hundred forty-four".