14977000896 has 448 divisors, whose sum is σ = 49969253376. Its totient is φ = 3892838400.

The previous prime is 14977000861. The next prime is 14977000931. The reversal of 14977000896 is 69800077941.

It is an interprime number because it is at equal distance from previous prime (14977000861) and next prime (14977000931).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23364736 + ... + 23365376.

It is an arithmetic number, because the mean of its divisors is an integer number (111538512).

Almost surely, 2^14977000896 is an apocalyptic number.

14977000896 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 14977000896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24984626688).

14977000896 is an abundant number, since it is smaller than the sum of its proper divisors (34992252480).

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

14977000896 is a wasteful number, since it uses less digits than its factorization.

14977000896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 51.

The spelling of 14977000896 in words is "fourteen billion, nine hundred seventy-seven million, eight hundred ninety-six", and thus it is an aban number.