11477246214720 has 448 divisors, whose sum is σ = 42884163818496. Its totient is φ = 2563941457920.

The previous prime is 11477246214659. The next prime is 11477246214821. The reversal of 11477246214720 is 2741264277411.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11477246214720.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80512147 + ... + 80654573.

It is an arithmetic number, because the mean of its divisors is an integer number (95723579952).

Almost surely, 2^{11477246214720} is an apocalyptic number.

11477246214720 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 11477246214720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21442081909248).

11477246214720 is an abundant number, since it is smaller than the sum of its proper divisors (31406917603776).

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

11477246214720 is a wasteful number, since it uses less digits than its factorization.

11477246214720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143058 (or 143048 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 48.

The spelling of 11477246214720 in words is "eleven trillion, four hundred seventy-seven billion, two hundred forty-six million, two hundred fourteen thousand, seven hundred twenty".