9649305401472 has 768 divisors, whose sum is σ = 31816524297600. Its totient is φ = 2876406128640.

The previous prime is 9649305401467. The next prime is 9649305401473. The reversal of 9649305401472 is 2741045039469.

9649305401472 is a `hidden beast` number, since 9 + 6 + 4 + 93 + 0 + 540 + 1 + 4 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9649305401473) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11002628298 + ... + 11002629174.

Almost surely, 2^{9649305401472} 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 9649305401472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15908262148800).

9649305401472 is an abundant number, since it is smaller than the sum of its proper divisors (22167218896128).

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

9649305401472 is a wasteful number, since it uses less digits than its factorization.

9649305401472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 9649305401472 in words is "nine trillion, six hundred forty-nine billion, three hundred five million, four hundred one thousand, four hundred seventy-two".