24714738417664 has 45 divisors (see below), whose sum is σ = 49429241037687. Its totient is φ = 12357051039744.

The previous prime is 24714738417613. The next prime is 24714738417683. The reversal of 24714738417664 is 46671483741742.

It is a happy number.

The square root of 24714738417664 is 4971392.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×24714738417664² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 24714738417596 and 24714738417605.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 636318757 + ... + 636357595.

Almost surely, 2^{24714738417664} is an apocalyptic number.

24714738417664 is the 4971392-nd square number.

It is an amenable number.

24714738417664 is a deficient number, since it is larger than the sum of its proper divisors (24714502620023).

24714738417664 is an frugal number, since it uses more digits than its factorization.

24714738417664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77706 (or 38841 counting only the distinct ones).

The product of its digits is 151732224, while the sum is 64.

24714738417664 divided by its sum of digits (64) gives a square (386167787776 = 621424²).

The spelling of 24714738417664 in words is "twenty-four trillion, seven hundred fourteen billion, seven hundred thirty-eight million, four hundred seventeen thousand, six hundred sixty-four".