9961472001 has 32 divisors (see below), whose sum is σ = 14802657408. Its totient is φ = 5918814720.

The previous prime is 9961471991. The next prime is 9961472009. The reversal of 9961472001 is 1002741699.

It is not a de Polignac number, because 9961472001 - 2⁵ = 9961471969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (9961472009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162685 + ... + 215381.

It is an arithmetic number, because the mean of its divisors is an integer number (462583044).

It is a Proth number, since it is equal to 2375 ⋅ 2²² + 1 and 2375 < 2²².

Almost surely, 2^9961472001 is an apocalyptic number.

It is an amenable number.

9961472001 is a deficient number, since it is larger than the sum of its proper divisors (4841185407).

9961472001 is a wasteful number, since it uses less digits than its factorization.

9961472001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52881.

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 9961472001 is about 99807.1740958535. The cubic root of 9961472001 is about 2151.6642604233.

The spelling of 9961472001 in words is "nine billion, nine hundred sixty-one million, four hundred seventy-two thousand, one".