91449152256 has 288 divisors, whose sum is σ = 304793169408. Its totient is φ = 23647518720.

The previous prime is 91449152227. The next prime is 91449152257. The reversal of 91449152256 is 65225194419.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (91449152257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13775370 + ... + 13782006.

It is an arithmetic number, because the mean of its divisors is an integer number (1058309616).

Almost surely, 2^91449152256 is an apocalyptic number.

91449152256 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91449152256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152396584704).

91449152256 is an abundant number, since it is smaller than the sum of its proper divisors (213344017152).

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

91449152256 is a wasteful number, since it uses less digits than its factorization.

91449152256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6907 (or 6893 counting only the distinct ones).

The product of its digits is 777600, while the sum is 48.

The spelling of 91449152256 in words is "ninety-one billion, four hundred forty-nine million, one hundred fifty-two thousand, two hundred fifty-six".