904342961088 has 448 divisors, whose sum is σ = 3202448256000. Its totient is φ = 244468482048.

The previous prime is 904342961083. The next prime is 904342961101. The reversal of 904342961088 is 880169243409.

904342961088 is a `hidden beast` number, since 90 + 43 + 429 + 6 + 10 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (904342961083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 219020208 + ... + 219024336.

It is an arithmetic number, because the mean of its divisors is an integer number (7148322000).

Almost surely, 2^904342961088 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 904342961088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601224128000).

904342961088 is an abundant number, since it is smaller than the sum of its proper divisors (2298105294912).

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

904342961088 is a wasteful number, since it uses less digits than its factorization.

904342961088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5129 (or 5113 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 904342961088 in words is "nine hundred four billion, three hundred forty-two million, nine hundred sixty-one thousand, eighty-eight".