14618079840 has 288 divisors, whose sum is σ = 57686398560. Its totient is φ = 3084189696.

The previous prime is 14618079821. The next prime is 14618079841. The reversal of 14618079840 is 4897081641.

It is a super-2 number, since 2×14618079840² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 14618079840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14618079841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281856 + ... + 329664.

It is an arithmetic number, because the mean of its divisors is an integer number (200299995).

Almost surely, 2^14618079840 is an apocalyptic number.

14618079840 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 14618079840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28843199280).

14618079840 is an abundant number, since it is smaller than the sum of its proper divisors (43068318720).

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

14618079840 is a wasteful number, since it uses less digits than its factorization.

14618079840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47854 (or 47839 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 14618079840 in words is "fourteen billion, six hundred eighteen million, seventy-nine thousand, eight hundred forty".