14975049600 has 576 divisors, whose sum is σ = 62152272000. Its totient is φ = 3362181120.

The previous prime is 14975049533. The next prime is 14975049611. The reversal of 14975049600 is 694057941.

14975049600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×14975049600² (a number of 21 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11893771 + ... + 11895029.

It is an arithmetic number, because the mean of its divisors is an integer number (107903250).

Almost surely, 2^14975049600 is an apocalyptic number.

14975049600 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 14975049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31076136000).

14975049600 is an abundant number, since it is smaller than the sum of its proper divisors (47177222400).

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

14975049600 is a wasteful number, since it uses less digits than its factorization.

14975049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 14975049600 in words is "fourteen billion, nine hundred seventy-five million, forty-nine thousand, six hundred".