14829020976 has 160 divisors (see below), whose sum is σ = 48200486400. Its totient is φ = 3816253440.

The previous prime is 14829020959. The next prime is 14829020977. The reversal of 14829020976 is 67902092841.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (14829020977) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384460 + ... + 421268.

It is an arithmetic number, because the mean of its divisors is an integer number (301253040).

Almost surely, 2^14829020976 is an apocalyptic number.

14829020976 is a gapful number since it is divisible by the number (16) 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 14829020976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24100243200).

14829020976 is an abundant number, since it is smaller than the sum of its proper divisors (33371465424).

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

14829020976 is a wasteful number, since it uses less digits than its factorization.

14829020976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36947 (or 36941 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 14829020976 in words is "fourteen billion, eight hundred twenty-nine million, twenty thousand, nine hundred seventy-six".