189471354785440 has 288 divisors, whose sum is σ = 560790533946384. Its totient is φ = 59961545441280.

The previous prime is 189471354785333. The next prime is 189471354785491. The reversal of 189471354785440 is 44587453174981.

It can be written as a sum of positive squares in 8 ways, for example, as 9283794612624 + 180187560172816 = 3046932^2 + 13423396^2 .

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 189471354785440.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2924765850 + ... + 2924830630.

Almost surely, 2^{189471354785440} is an apocalyptic number.

189471354785440 is a gapful number since it is divisible by the number (10) 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 189471354785440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280395266973192).

189471354785440 is an abundant number, since it is smaller than the sum of its proper divisors (371319179160944).

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

189471354785440 is a wasteful number, since it uses less digits than its factorization.

189471354785440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93520 (or 93505 counting only the distinct ones).

The product of its (nonzero) digits is 541900800, while the sum is 70.

The spelling of 189471354785440 in words is "one hundred eighty-nine trillion, four hundred seventy-one billion, three hundred fifty-four million, seven hundred eighty-five thousand, four hundred forty".