13446157680 has 160 divisors (see below), whose sum is σ = 46366437120. Its totient is φ = 3581625600.

The previous prime is 13446157657. The next prime is 13446157691. The reversal of 13446157680 is 8675164431.

13446157680 is a `hidden beast` number, since 1 + 34 + 46 + 1 + 576 + 8 + 0 = 666.

It is a super-3 number, since 3×13446157680³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2267199 + ... + 2273121.

It is an arithmetic number, because the mean of its divisors is an integer number (289790232).

Almost surely, 2^13446157680 is an apocalyptic number.

13446157680 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 13446157680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23183218560).

13446157680 is an abundant number, since it is smaller than the sum of its proper divisors (32920279440).

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

13446157680 is a wasteful number, since it uses less digits than its factorization.

13446157680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6996 (or 6984 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 13446157680 in words is "thirteen billion, four hundred forty-six million, one hundred fifty-seven thousand, six hundred eighty".