9974472601905 has 144 divisors (see below), whose sum is σ = 21586556491344. Its totient is φ = 4232748441600.

The previous prime is 9974472601903. The next prime is 9974472601921. The reversal of 9974472601905 is 5091062744799.

9974472601905 is a `hidden beast` number, since 9 + 9 + 74 + 472 + 6 + 0 + 1 + 90 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 934251765489 + 9040220836416 = 966567^2 + 3006696^2 .

It is not a de Polignac number, because 9974472601905 - 2¹ = 9974472601903 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (9974472601903) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 913855 + ... + 4558955.

It is an arithmetic number, because the mean of its divisors is an integer number (149906642301).

Almost surely, 2^{9974472601905} is an apocalyptic number.

It is an amenable number.

9974472601905 is an abundant number, since it is smaller than the sum of its proper divisors (11612083889439).

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

9974472601905 is a wasteful number, since it uses less digits than its factorization.

9974472601905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3645216 (or 3645206 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 9974472601905 in words is "nine trillion, nine hundred seventy-four billion, four hundred seventy-two million, six hundred one thousand, nine hundred five".