1438301568672 has 72 divisors (see below), whose sum is σ = 4092309745524. Its totient is φ = 479183053824.

The previous prime is 1438301568647. The next prime is 1438301568679. The reversal of 1438301568672 is 2768651038341.

1438301568672 is a `hidden beast` number, since 1 + 4 + 3 + 8 + 3 + 0 + 1 + 568 + 6 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1390408872336 + 47892696336 = 1179156^2 + 218844^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1438301568672² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1438301568679) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 754363 + ... + 1856250.

Almost surely, 2^{1438301568672} is an apocalyptic number.

1438301568672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1438301568672 is an abundant number, since it is smaller than the sum of its proper divisors (2654008176852).

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

1438301568672 is a wasteful number, since it uses less digits than its factorization.

1438301568672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2612542 (or 2612531 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 1438301568672 in words is "one trillion, four hundred thirty-eight billion, three hundred one million, five hundred sixty-eight thousand, six hundred seventy-two".