14457674880 has 512 divisors, whose sum is σ = 58305484800. Its totient is φ = 3351490560.

The previous prime is 14457674873. The next prime is 14457674923. The reversal of 14457674880 is 8847675441.

14457674880 is a `hidden beast` number, since 14 + 457 + 67 + 48 + 80 = 666.

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 63 ways as a sum of consecutive naturals, for example, 4370187 + ... + 4373493.

It is an arithmetic number, because the mean of its divisors is an integer number (113877900).

Almost surely, 2^14457674880 is an apocalyptic number.

14457674880 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 14457674880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29152742400).

14457674880 is an abundant number, since it is smaller than the sum of its proper divisors (43847809920).

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

14457674880 is a wasteful number, since it uses less digits than its factorization.

14457674880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3369 (or 3351 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 14457674880 in words is "fourteen billion, four hundred fifty-seven million, six hundred seventy-four thousand, eight hundred eighty".