1949712189984 has 480 divisors, whose sum is σ = 6547515082416. Its totient is φ = 563833405440.

The previous prime is 1949712189911. The next prime is 1949712190031. The reversal of 1949712189984 is 4899812179491.

1949712189984 is a `hidden beast` number, since 1 + 9 + 497 + 121 + 8 + 9 + 9 + 8 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1366963165584 + 582749024400 = 1169172^2 + 763380^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 502371724 + ... + 502375604.

Almost surely, 2^{1949712189984} 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 1949712189984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273757541208).

1949712189984 is an abundant number, since it is smaller than the sum of its proper divisors (4597802892432).

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

1949712189984 is a wasteful number, since it uses less digits than its factorization.

1949712189984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4810 (or 4793 counting only the distinct ones).

The product of its digits is 94058496, while the sum is 72.

The spelling of 1949712189984 in words is "one trillion, nine hundred forty-nine billion, seven hundred twelve million, one hundred eighty-nine thousand, nine hundred eighty-four".