14474661484920 has 2048 divisors, whose sum is σ = 61170691276800. Its totient is φ = 2653417046016.

The previous prime is 14474661484903. The next prime is 14474661484967. The reversal of 14474661484920 is 2948416647441.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 12889279479 + ... + 12889280601.

It is an arithmetic number, because the mean of its divisors is an integer number (29868501600).

Almost surely, 2^{14474661484920} is an apocalyptic number.

14474661484920 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 14474661484920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30585345638400).

14474661484920 is an abundant number, since it is smaller than the sum of its proper divisors (46696029791880).

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

14474661484920 is a wasteful number, since it uses less digits than its factorization.

14474661484920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 60.

The spelling of 14474661484920 in words is "fourteen trillion, four hundred seventy-four billion, six hundred sixty-one million, four hundred eighty-four thousand, nine hundred twenty".