14979006000 has 1440 divisors, whose sum is σ = 68630732352. Its totient is φ = 3135283200.

The previous prime is 14979005981. The next prime is 14979006043. The reversal of 14979006000 is 60097941.

14979006000 is a `hidden beast` number, since 1 + 49 + 7 + 9 + 0 + 0 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 404837982 + ... + 404838018.

Almost surely, 2^14979006000 is an apocalyptic number.

14979006000 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 14979006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34315366176).

14979006000 is an abundant number, since it is smaller than the sum of its proper divisors (53651726352).

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

14979006000 is a wasteful number, since it uses less digits than its factorization.

14979006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 14979006000 in words is "fourteen billion, nine hundred seventy-nine million, six thousand".