1445738696064 has 512 divisors, whose sum is σ = 4686696000000. Its totient is φ = 436027318272.

The previous prime is 1445738696057. The next prime is 1445738696107. The reversal of 1445738696064 is 4606968375441.

1445738696064 is a `hidden beast` number, since 1 + 4 + 457 + 3 + 8 + 69 + 60 + 64 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1445738695992 and 1445738696010.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1322724702 + ... + 1322725794.

It is an arithmetic number, because the mean of its divisors is an integer number (9153703125).

Almost surely, 2^{1445738696064} 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 1445738696064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343348000000).

1445738696064 is an abundant number, since it is smaller than the sum of its proper divisors (3240957303936).

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

1445738696064 is a wasteful number, since it uses less digits than its factorization.

1445738696064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 1445738696064 in words is "one trillion, four hundred forty-five billion, seven hundred thirty-eight million, six hundred ninety-six thousand, sixty-four".