13466738376 has 512 divisors, whose sum is σ = 49061376000. Its totient is φ = 3323400192.

The previous prime is 13466738371. The next prime is 13466738393. The reversal of 13466738376 is 67383766431.

13466738376 is a `hidden beast` number, since 134 + 6 + 67 + 383 + 76 = 666.

It is a super-2 number, since 2×13466738376² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13466738371) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39960480 + ... + 39960816.

It is an arithmetic number, because the mean of its divisors is an integer number (95823000).

Almost surely, 2^13466738376 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 13466738376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24530688000).

13466738376 is an abundant number, since it is smaller than the sum of its proper divisors (35594637624).

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

13466738376 is a wasteful number, since it uses less digits than its factorization.

13466738376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 488 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The spelling of 13466738376 in words is "thirteen billion, four hundred sixty-six million, seven hundred thirty-eight thousand, three hundred seventy-six".