11476562146464 has 192 divisors, whose sum is σ = 32943032156160. Its totient is φ = 3484926581760.

The previous prime is 11476562146451. The next prime is 11476562146499. The reversal of 11476562146464 is 46464126567411.

It is a super-2 number, since 2×11476562146464² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8231017 + ... + 9523799.

It is an arithmetic number, because the mean of its divisors is an integer number (171578292480).

Almost surely, 2^{11476562146464} 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 11476562146464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16471516078080).

11476562146464 is an abundant number, since it is smaller than the sum of its proper divisors (21466470009696).

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

11476562146464 is a wasteful number, since it uses less digits than its factorization.

11476562146464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293003 (or 1292995 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 57.

The spelling of 11476562146464 in words is "eleven trillion, four hundred seventy-six billion, five hundred sixty-two million, one hundred forty-six thousand, four hundred sixty-four".