11525737146 has 192 divisors, whose sum is σ = 31108976640. Its totient is φ = 2776435200.

The previous prime is 11525737141. The next prime is 11525737151. The reversal of 11525737146 is 64173752511.

It is an interprime number because it is at equal distance from previous prime (11525737141) and next prime (11525737151).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 11525737098 and 11525737107.

It is not an unprimeable number, because it can be changed into a prime (11525737141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6133035 + ... + 6134913.

It is an arithmetic number, because the mean of its divisors is an integer number (162025920).

Almost surely, 2^11525737146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11525737146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15554488320).

11525737146 is an abundant number, since it is smaller than the sum of its proper divisors (19583239494).

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

11525737146 is a wasteful number, since it uses less digits than its factorization.

11525737146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1990 counting only the distinct ones).

The product of its digits is 176400, while the sum is 42.

The spelling of 11525737146 in words is "eleven billion, five hundred twenty-five million, seven hundred thirty-seven thousand, one hundred forty-six".