91004205456 has 160 divisors (see below), whose sum is σ = 275268096000. Its totient is φ = 28706389632.

The previous prime is 91004205449. The next prime is 91004205521. The reversal of 91004205456 is 65450240019.

91004205456 is a `hidden beast` number, since 9 + 100 + 4 + 2 + 0 + 545 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 91004205456.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8062825 + ... + 8074103.

It is an arithmetic number, because the mean of its divisors is an integer number (1720425600).

Almost surely, 2^91004205456 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 91004205456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137634048000).

91004205456 is an abundant number, since it is smaller than the sum of its proper divisors (184263890544).

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

91004205456 is a wasteful number, since it uses less digits than its factorization.

91004205456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12298 (or 12286 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 91004205456 in words is "ninety-one billion, four million, two hundred five thousand, four hundred fifty-six".