1390578675984 has 45 divisors (see below), whose sum is σ = 3891728536293. Its totient is φ = 463521508416.

The previous prime is 1390578675979. The next prime is 1390578675989. The reversal of 1390578675984 is 4895768750931.

The square root of 1390578675984 is 1179228.

It is a perfect power (a square), and thus also a powerful number.

1390578675984 is a `hidden beast` number, since 1 + 390 + 5 + 7 + 86 + 75 + 98 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1390578675979) and next prime (1390578675989).

It can be written as a sum of positive squares in only one way, i.e., 8167098384 + 1382411577600 = 90372^2 + 1175760^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1390578675989) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 14101602 + ... + 14199870.

Almost surely, 2^{1390578675984} is an apocalyptic number.

1390578675984 is the 1179228-th square number.

It is an amenable number.

1390578675984 is an abundant number, since it is smaller than the sum of its proper divisors (2501149860309).

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

1390578675984 is an frugal number, since it uses more digits than its factorization.

1390578675984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196552 (or 98274 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 72.

The spelling of 1390578675984 in words is "one trillion, three hundred ninety billion, five hundred seventy-eight million, six hundred seventy-five thousand, nine hundred eighty-four".