14675935001400 has 768 divisors, whose sum is σ = 54742467686400. Its totient is φ = 3599750799360.

The previous prime is 14675935001347. The next prime is 14675935001411. The reversal of 14675935001400 is 410053957641.

14675935001400 is a `hidden beast` number, since 1 + 4 + 6 + 7 + 593 + 50 + 0 + 1 + 4 + 0 + 0 = 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 191 ways as a sum of consecutive naturals, for example, 3550913734 + ... + 3550917866.

It is an arithmetic number, because the mean of its divisors is an integer number (71279254800).

Almost surely, 2^{14675935001400} is an apocalyptic number.

14675935001400 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 14675935001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27371233843200).

14675935001400 is an abundant number, since it is smaller than the sum of its proper divisors (40066532685000).

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

14675935001400 is a wasteful number, since it uses less digits than its factorization.

14675935001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5045 (or 5030 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 14675935001400 in words is "fourteen trillion, six hundred seventy-five billion, nine hundred thirty-five million, one thousand, four hundred".