91142531460 has 576 divisors, whose sum is σ = 323679283200. Its totient is φ = 20603289600.

The previous prime is 91142531453. The next prime is 91142531461. The reversal of 91142531460 is 6413524119.

It is a happy number.

91142531460 is a `hidden beast` number, since 9 + 1 + 142 + 53 + 1 + 460 = 666.

It is a super-2 number, since 2×91142531460² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (91142531461) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 109942326 + ... + 109943154.

It is an arithmetic number, because the mean of its divisors is an integer number (561943200).

Almost surely, 2^91142531460 is an apocalyptic number.

91142531460 is a gapful number since it is divisible by the number (90) 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 91142531460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161839641600).

91142531460 is an abundant number, since it is smaller than the sum of its proper divisors (232536751740).

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

91142531460 is a wasteful number, since it uses less digits than its factorization.

91142531460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 91142531460 in words is "ninety-one billion, one hundred forty-two million, five hundred thirty-one thousand, four hundred sixty".