11546281040 has 80 divisors (see below), whose sum is σ = 30868583808. Its totient is φ = 3934407168.

The previous prime is 11546281007. The next prime is 11546281063. The reversal of 11546281040 is 4018264511.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 11546280988 and 11546281006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28034 + ... + 154526.

Almost surely, 2^11546281040 is an apocalyptic number.

11546281040 is a gapful number since it is divisible by the number (10) 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 11546281040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15434291904).

11546281040 is an abundant number, since it is smaller than the sum of its proper divisors (19322302768).

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

11546281040 is a wasteful number, since it uses less digits than its factorization.

11546281040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126676 (or 126670 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The spelling of 11546281040 in words is "eleven billion, five hundred forty-six million, two hundred eighty-one thousand, forty".