14748124482000 has 1920 divisors, whose sum is σ = 66928729620480. Its totient is φ = 2939328000000.

The previous prime is 14748124481977. The next prime is 14748124482053. The reversal of 14748124482000 is 28442184741.

14748124482000 is a `hidden beast` number, since 1 + 4 + 7 + 48 + 124 + 482 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 19637981625 + ... + 19637982375.

It is an arithmetic number, because the mean of its divisors is an integer number (34858713344).

Almost surely, 2^{14748124482000} is an apocalyptic number.

14748124482000 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 14748124482000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33464364810240).

14748124482000 is an abundant number, since it is smaller than the sum of its proper divisors (52180605138480).

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

14748124482000 is a wasteful number, since it uses less digits than its factorization.

14748124482000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 14748124482000 in words is "fourteen trillion, seven hundred forty-eight billion, one hundred twenty-four million, four hundred eighty-two thousand".