91123628904 has 288 divisors, whose sum is σ = 314516442240. Its totient is φ = 23567846400.

The previous prime is 91123628857. The next prime is 91123628957. The reversal of 91123628904 is 40982632119.

91123628904 is a `hidden beast` number, since 9 + 1 + 12 + 3 + 628 + 9 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 91123628904.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 9347857 + ... + 9357599.

It is an arithmetic number, because the mean of its divisors is an integer number (1092070980).

Almost surely, 2^91123628904 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 91123628904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157258221120).

91123628904 is an abundant number, since it is smaller than the sum of its proper divisors (223392813336).

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

91123628904 is a wasteful number, since it uses less digits than its factorization.

91123628904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10021 (or 10007 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

It can be divided in two parts, 91123 and 628904, that added together give a palindrome (720027).

The spelling of 91123628904 in words is "ninety-one billion, one hundred twenty-three million, six hundred twenty-eight thousand, nine hundred four".