14914190880 has 192 divisors, whose sum is σ = 53611044480. Its totient is φ = 3869586432.

The previous prime is 14914190857. The next prime is 14914190903. The reversal of 14914190880 is 8809141941.

It is an interprime number because it is at equal distance from previous prime (14914190857) and next prime (14914190903).

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

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, 113187 + ... + 206493.

It is an arithmetic number, because the mean of its divisors is an integer number (279224190).

Almost surely, 2^14914190880 is an apocalyptic number.

14914190880 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 14914190880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26805522240).

14914190880 is an abundant number, since it is smaller than the sum of its proper divisors (38696853600).

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

14914190880 is a wasteful number, since it uses less digits than its factorization.

14914190880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93368 (or 93354 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 14914190880 in words is "fourteen billion, nine hundred fourteen million, one hundred ninety thousand, eight hundred eighty".