2145697670592 has 896 divisors, whose sum is σ = 7646549299200. Its totient is φ = 577124352000.

The previous prime is 2145697670591. The next prime is 2145697670617. The reversal of 2145697670592 is 2950767965412.

2145697670592 is a `hidden beast` number, since 2 + 1 + 4 + 569 + 7 + 67 + 0 + 5 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145697670591) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 2515471638 + ... + 2515472490.

It is an arithmetic number, because the mean of its divisors is an integer number (8534095200).

Almost surely, 2^{2145697670592} 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 2145697670592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3823274649600).

2145697670592 is an abundant number, since it is smaller than the sum of its proper divisors (5500851628608).

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

2145697670592 is a wasteful number, since it uses less digits than its factorization.

2145697670592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 2145697670592 in words is "two trillion, one hundred forty-five billion, six hundred ninety-seven million, six hundred seventy thousand, five hundred ninety-two".