13946745600 has 324 divisors, whose sum is σ = 52799573736. Its totient is φ = 3500113920.

The previous prime is 13946745581. The next prime is 13946745601. The reversal of 13946745600 is 654764931.

13946745600 is a `hidden beast` number, since 1 + 39 + 4 + 6 + 7 + 4 + 5 + 600 = 666.

It is a super-2 number, since 2×13946745600² (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 not an unprimeable number, because it can be changed into a prime (13946745601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 972079 + ... + 986321.

Almost surely, 2^13946745600 is an apocalyptic number.

13946745600 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 13946745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26399786868).

13946745600 is an abundant number, since it is smaller than the sum of its proper divisors (38852828136).

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

13946745600 is a wasteful number, since it uses less digits than its factorization.

13946745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14292 (or 14270 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 13946745600 in words is "thirteen billion, nine hundred forty-six million, seven hundred forty-five thousand, six hundred".