11946147840 has 480 divisors, whose sum is σ = 46429528320. Its totient is φ = 2890137600.

The previous prime is 11946147823. The next prime is 11946147887. The reversal of 11946147840 is 4874164911.

11946147840 is a `hidden beast` number, since 119 + 4 + 61 + 478 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 24329995 + ... + 24330485.

It is an arithmetic number, because the mean of its divisors is an integer number (96728184).

Almost surely, 2^11946147840 is an apocalyptic number.

11946147840 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 11946147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23214764160).

11946147840 is an abundant number, since it is smaller than the sum of its proper divisors (34483380480).

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

11946147840 is an equidigital number, since it uses as much as digits as its factorization.

11946147840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 11946147840 in words is "eleven billion, nine hundred forty-six million, one hundred forty-seven thousand, eight hundred forty".