14760900000 has 1152 divisors, whose sum is σ = 68035645440. Its totient is φ = 3024000000.

The previous prime is 14760899999. The next prime is 14760900053. The reversal of 14760900000 is 906741.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 191 ways as a sum of consecutive naturals, for example, 207899965 + ... + 207900035.

It is an arithmetic number, because the mean of its divisors is an integer number (59058720).

Almost surely, 2^14760900000 is an apocalyptic number.

14760900000 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 14760900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34017822720).

14760900000 is an abundant number, since it is smaller than the sum of its proper divisors (53274745440).

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

14760900000 is an equidigital number, since it uses as much as digits as its factorization.

14760900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 14760900000 in words is "fourteen billion, seven hundred sixty million, nine hundred thousand".