11446147260 has 240 divisors, whose sum is σ = 38507736960. Its totient is φ = 2835855360.

The previous prime is 11446147259. The next prime is 11446147283. The reversal of 11446147260 is 6274164411.

It is a happy number.

11446147260 is a `hidden beast` number, since 1 + 14 + 4 + 614 + 7 + 26 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2173030 + ... + 2178290.

It is an arithmetic number, because the mean of its divisors is an integer number (160448904).

Almost surely, 2^11446147260 is an apocalyptic number.

11446147260 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 11446147260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19253868480).

11446147260 is an abundant number, since it is smaller than the sum of its proper divisors (27061589700).

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

11446147260 is a wasteful number, since it uses less digits than its factorization.

11446147260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5378 (or 5367 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 11446147260 in words is "eleven billion, four hundred forty-six million, one hundred forty-seven thousand, two hundred sixty".