91852525746 has 128 divisors (see below), whose sum is σ = 216668390400. Its totient is φ = 28792350720.

The previous prime is 91852525729. The next prime is 91852525747. The reversal of 91852525746 is 64752525819.

91852525746 is a `hidden beast` number, since 9 + 18 + 5 + 2 + 52 + 574 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 91852525692 and 91852525701.

It is not an unprimeable number, because it can be changed into a prime (91852525747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70818570 + ... + 70819866.

It is an arithmetic number, because the mean of its divisors is an integer number (1692721800).

Almost surely, 2^91852525746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91852525746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108334195200).

91852525746 is an abundant number, since it is smaller than the sum of its proper divisors (124815864654).

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

91852525746 is a wasteful number, since it uses less digits than its factorization.

91852525746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481 (or 2475 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 54.

The spelling of 91852525746 in words is "ninety-one billion, eight hundred fifty-two million, five hundred twenty-five thousand, seven hundred forty-six".