17742621414544 has 40 divisors (see below), whose sum is σ = 38297236554360. Its totient is φ = 7906526251008.

The previous prime is 17742621414491. The next prime is 17742621414571. The reversal of 17742621414544 is 44541412624771.

It can be written as a sum of positive squares in 4 ways, for example, as 4058451993600 + 13684169420944 = 2014560^2 + 3699212^2 .

It is a super-2 number, since 2×17742621414544² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 17742621414491 and 17742621414500.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1470701977 + ... + 1470714040.

It is an arithmetic number, because the mean of its divisors is an integer number (957430913859).

Almost surely, 2^{17742621414544} is an apocalyptic number.

It is an amenable number.

17742621414544 is an abundant number, since it is smaller than the sum of its proper divisors (20554615139816).

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

17742621414544 is a wasteful number, since it uses less digits than its factorization.

17742621414544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941416067 (or 2941416061 counting only the distinct ones).

The product of its digits is 6021120, while the sum is 52.

The spelling of 17742621414544 in words is "seventeen trillion, seven hundred forty-two billion, six hundred twenty-one million, four hundred fourteen thousand, five hundred forty-four".