14053606148880 has 1920 divisors, whose sum is σ = 56671172812800. Its totient is φ = 3214113177600.

The previous prime is 14053606148843. The next prime is 14053606148917. The reversal of 14053606148880 is 8884160635041.

14053606148880 is a `hidden beast` number, since 1 + 4 + 0 + 536 + 0 + 61 + 48 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14053606148843) and next prime (14053606148917).

It is a super-4 number, since 4×14053606148880⁴ (a number of 54 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 20338069335 + ... + 20338070025.

It is an arithmetic number, because the mean of its divisors is an integer number (29516235840).

Almost surely, 2^{14053606148880} is an apocalyptic number.

14053606148880 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 14053606148880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28335586406400).

14053606148880 is an abundant number, since it is smaller than the sum of its proper divisors (42617566663920).

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

14053606148880 is a wasteful number, since it uses less digits than its factorization.

14053606148880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 14053606148880 in words is "fourteen trillion, fifty-three billion, six hundred six million, one hundred forty-eight thousand, eight hundred eighty".