13452977664 has 560 divisors, whose sum is σ = 48661409280. Its totient is φ = 3627970560.

The previous prime is 13452977663. The next prime is 13452977677. The reversal of 13452977664 is 46677925431.

13452977664 is a `hidden beast` number, since 1 + 345 + 297 + 7 + 6 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13452977664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13452977663) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 49641849 + ... + 49642119.

Almost surely, 2^13452977664 is an apocalyptic number.

13452977664 is a gapful number since it is divisible by the number (14) 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 13452977664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24330704640).

13452977664 is an abundant number, since it is smaller than the sum of its proper divisors (35208431616).

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

13452977664 is an frugal number, since it uses more digits than its factorization.

13452977664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 302 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 13452977664 in words is "thirteen billion, four hundred fifty-two million, nine hundred seventy-seven thousand, six hundred sixty-four".