14945046480 has 640 divisors, whose sum is σ = 63929241600. Its totient is φ = 3124832256.

The previous prime is 14945046461. The next prime is 14945046533. The reversal of 14945046480 is 8464054941.

14945046480 is a `hidden beast` number, since 1 + 4 + 9 + 4 + 504 + 64 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27321567 + ... + 27322113.

It is an arithmetic number, because the mean of its divisors is an integer number (99889440).

Almost surely, 2^14945046480 is an apocalyptic number.

14945046480 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 14945046480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31964620800).

14945046480 is an abundant number, since it is smaller than the sum of its proper divisors (48984195120).

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

14945046480 is a wasteful number, since it uses less digits than its factorization.

14945046480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 14945046480 in words is "fourteen billion, nine hundred forty-five million, forty-six thousand, four hundred eighty".