11487766472 has 256 divisors, whose sum is σ = 29279846400. Its totient is φ = 4098263040.

The previous prime is 11487766447. The next prime is 11487766481. The reversal of 11487766472 is 27466778411.

It is a super-3 number, since 3×11487766472³ (a number of 31 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (3161088) is a multiple of the sum of its prime divisors (512).

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, 31301633 + ... + 31301999.

It is an arithmetic number, because the mean of its divisors is an integer number (114374400).

Almost surely, 2^11487766472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11487766472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14639923200).

11487766472 is an abundant number, since it is smaller than the sum of its proper divisors (17792079928).

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

11487766472 is a wasteful number, since it uses less digits than its factorization.

11487766472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 512 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 53.

The spelling of 11487766472 in words is "eleven billion, four hundred eighty-seven million, seven hundred sixty-six thousand, four hundred seventy-two".