24146673664 has 51 divisors (see below), whose sum is σ = 48372670047. Its totient is φ = 12053446656.

The previous prime is 24146673631. The next prime is 24146673679. The reversal of 24146673664 is 46637664142.

The square root of 24146673664 is 155392.

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

It is a super-3 number, since 3×24146673664³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

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, 39780049 + ... + 39780655.

Almost surely, 2^24146673664 is an apocalyptic number.

24146673664 is the 155392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24146673664

24146673664 is an abundant number, since it is smaller than the sum of its proper divisors (24225996383).

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

24146673664 is an frugal number, since it uses more digits than its factorization.

24146673664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 609 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 49.

Multiplying 24146673664 by its sum of digits (49), we get a square (1183187009536 = 1087744²).

The spelling of 24146673664 in words is "twenty-four billion, one hundred forty-six million, six hundred seventy-three thousand, six hundred sixty-four".