11506146414 has 64 divisors (see below), whose sum is σ = 27901158912. Its totient is φ = 3088051200.

The previous prime is 11506146409. The next prime is 11506146433. The reversal of 11506146414 is 41464160511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356529 + ... + 387459.

It is an arithmetic number, because the mean of its divisors is an integer number (435955608).

Almost surely, 2^11506146414 is an apocalyptic number.

11506146414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11506146414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13950579456).

11506146414 is an abundant number, since it is smaller than the sum of its proper divisors (16395012498).

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

11506146414 is a wasteful number, since it uses less digits than its factorization.

11506146414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31481.

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 11506146414 in words is "eleven billion, five hundred six million, one hundred forty-six thousand, four hundred fourteen".