91014144 has 176 divisors, whose sum is σ = 272365632. Its totient is φ = 26836992.

The previous prime is 91014139. The next prime is 91014149. The reversal of 91014144 is 44141019.

It is an interprime number because it is at equal distance from previous prime (91014139) and next prime (91014149).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91014149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1717222 + ... + 1717274.

It is an arithmetic number, because the mean of its divisors is an integer number (1547532).

Almost surely, 2^91014144 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 91014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136182816).

91014144 is an abundant number, since it is smaller than the sum of its proper divisors (181351488).

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

91014144 is a wasteful number, since it uses less digits than its factorization.

91014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 91014144 is about 9540.1333324016. The cubic root of 91014144 is about 449.8174469407.

The spelling of 91014144 in words is "ninety-one million, fourteen thousand, one hundred forty-four".