14875393361400 has 576 divisors, whose sum is σ = 59494238687520. Its totient is φ = 3283155763200.

The previous prime is 14875393361393. The next prime is 14875393361417. The reversal of 14875393361400 is 416339357841.

14875393361400 is a `hidden beast` number, since 1 + 4 + 8 + 7 + 539 + 3 + 3 + 61 + 40 + 0 = 666.

14875393361400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18394372 + ... + 19186028.

Almost surely, 2^{14875393361400} is an apocalyptic number.

14875393361400 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 14875393361400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29747119343760).

14875393361400 is an abundant number, since it is smaller than the sum of its proper divisors (44618845326120).

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

14875393361400 is a wasteful number, since it uses less digits than its factorization.

14875393361400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791776 (or 791764 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 14875393361400 in words is "fourteen trillion, eight hundred seventy-five billion, three hundred ninety-three million, three hundred sixty-one thousand, four hundred".