9145204704 has 72 divisors (see below), whose sum is σ = 26052848640. Its totient is φ = 3042989568.

The previous prime is 9145204699. The next prime is 9145204727. The reversal of 9145204704 is 4074025419.

It is a happy number.

9145204704 is a `hidden beast` number, since 91 + 4 + 520 + 47 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135969 + ... + 191775.

It is an arithmetic number, because the mean of its divisors is an integer number (361845120).

Almost surely, 2^9145204704 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 9145204704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13026424320).

9145204704 is an abundant number, since it is smaller than the sum of its proper divisors (16907643936).

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

9145204704 is a wasteful number, since it uses less digits than its factorization.

9145204704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56392 (or 56381 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 9145204704 is about 95630.5636499127. The cubic root of 9145204704 is about 2091.2107865647.

The spelling of 9145204704 in words is "nine billion, one hundred forty-five million, two hundred four thousand, seven hundred four".