14935130496 has 384 divisors, whose sum is σ = 53471003040. Its totient is φ = 3931176960.

The previous prime is 14935130491. The next prime is 14935130503. The reversal of 14935130496 is 69403153941.

14935130496 is a `hidden beast` number, since 1 + 4 + 93 + 513 + 0 + 49 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14935130491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2797846 + ... + 2803178.

Almost surely, 2^14935130496 is an apocalyptic number.

14935130496 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 14935130496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26735501520).

14935130496 is an abundant number, since it is smaller than the sum of its proper divisors (38535872544).

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

14935130496 is a wasteful number, since it uses less digits than its factorization.

14935130496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5394 (or 5379 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 14935130496 in words is "fourteen billion, nine hundred thirty-five million, one hundred thirty thousand, four hundred ninety-six".