1992013444872 has 384 divisors, whose sum is σ = 6408642240000. Its totient is φ = 571298935680.

The previous prime is 1992013444867. The next prime is 1992013444873. The reversal of 1992013444872 is 2784443102991.

1992013444872 is a `hidden beast` number, since 1 + 9 + 9 + 20 + 134 + 4 + 487 + 2 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 (1992013444873) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 982738723 + ... + 982740749.

It is an arithmetic number, because the mean of its divisors is an integer number (16689172500).

Almost surely, 2^{1992013444872} is an apocalyptic number.

1992013444872 is a gapful number since it is divisible by the number (12) 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 1992013444872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3204321120000).

1992013444872 is an abundant number, since it is smaller than the sum of its proper divisors (4416628795128).

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

1992013444872 is a wasteful number, since it uses less digits than its factorization.

1992013444872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4062 (or 4041 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 1992013444872 in words is "one trillion, nine hundred ninety-two billion, thirteen million, four hundred forty-four thousand, eight hundred seventy-two".