14938496640 has 192 divisors, whose sum is σ = 52118244360. Its totient is φ = 3942383616.

The previous prime is 14938496627. The next prime is 14938496687. The reversal of 14938496640 is 4669483941.

It is a happy number.

14938496640 is a `hidden beast` number, since 1 + 4 + 93 + 8 + 496 + 64 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12664351296 + 2274145344 = 112536^2 + 47688^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 545352 + ... + 572088.

Almost surely, 2^14938496640 is an apocalyptic number.

14938496640 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 14938496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26059122180).

14938496640 is an abundant number, since it is smaller than the sum of its proper divisors (37179747720).

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

14938496640 is a wasteful number, since it uses less digits than its factorization.

14938496640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26859 (or 26844 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 14938496640 in words is "fourteen billion, nine hundred thirty-eight million, four hundred ninety-six thousand, six hundred forty".