1392546329064 has 576 divisors, whose sum is σ = 4646206656000. Its totient is φ = 371931056640.

The previous prime is 1392546329039. The next prime is 1392546329089. The reversal of 1392546329064 is 4609236452931.

1392546329064 is a `hidden beast` number, since 1 + 3 + 9 + 2 + 546 + 3 + 2 + 90 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1392546329039) and next prime (1392546329089).

It is a super-2 number, since 2×1392546329064² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1392546329064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 473814907 + ... + 473817845.

It is an arithmetic number, because the mean of its divisors is an integer number (8066331000).

Almost surely, 2^{1392546329064} 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 1392546329064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2323103328000).

1392546329064 is an abundant number, since it is smaller than the sum of its proper divisors (3253660326936).

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

1392546329064 is a wasteful number, since it uses less digits than its factorization.

1392546329064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078 (or 3034 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 1392546329064 in words is "one trillion, three hundred ninety-two billion, five hundred forty-six million, three hundred twenty-nine thousand, sixty-four".