14983351408840 has 128 divisors (see below), whose sum is σ = 35066818080000. Its totient is φ = 5754880631808.

The previous prime is 14983351408783. The next prime is 14983351408847. The reversal of 14983351408840 is 4880415338941.

It is a super-2 number, since 2×14983351408840² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is not an unprimeable number, because it can be changed into a prime (14983351408847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 529301967 + ... + 529330273.

It is an arithmetic number, because the mean of its divisors is an integer number (273959516250).

Almost surely, 2^{14983351408840} is an apocalyptic number.

14983351408840 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 14983351408840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17533409040000).

14983351408840 is an abundant number, since it is smaller than the sum of its proper divisors (20083466671160).

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

14983351408840 is a wasteful number, since it uses less digits than its factorization.

14983351408840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30839 (or 30835 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 58.

The spelling of 14983351408840 in words is "fourteen trillion, nine hundred eighty-three billion, three hundred fifty-one million, four hundred eight thousand, eight hundred forty".