91148544 has 72 divisors (see below), whose sum is σ = 269562720. Its totient is φ = 30380544.

The previous prime is 91148539. The next prime is 91148573. The reversal of 91148544 is 44584119.

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 junction number, because it is equal to n+sod(n) for n = 91148499 and 91148508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 319 + ... + 13505.

Almost surely, 2^91148544 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 91148544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134781360).

91148544 is an abundant number, since it is smaller than the sum of its proper divisors (178414176).

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

91148544 is a wasteful number, since it uses less digits than its factorization.

91148544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13212 (or 13192 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 91148544 is about 9547.1746605999. The cubic root of 91148544 is about 450.0387522183.

It can be divided in two parts, 911 and 48544, that added together give a triangular number (49455 = T₃₁₄).

The spelling of 91148544 in words is "ninety-one million, one hundred forty-eight thousand, five hundred forty-four".