14945201376 has 192 divisors, whose sum is σ = 46086340608. Its totient is φ = 4152135168.

The previous prime is 14945201363. The next prime is 14945201399. The reversal of 14945201376 is 67310254941.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5146741 + ... + 5149643.

It is an arithmetic number, because the mean of its divisors is an integer number (240033024).

Almost surely, 2^14945201376 is an apocalyptic number.

14945201376 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 14945201376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23043170304).

14945201376 is an abundant number, since it is smaller than the sum of its proper divisors (31141139232).

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

14945201376 is a wasteful number, since it uses less digits than its factorization.

14945201376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3133 (or 3125 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 14945201376 in words is "fourteen billion, nine hundred forty-five million, two hundred one thousand, three hundred seventy-six".