13946398920 has 96 divisors (see below), whose sum is σ = 45413404920. Its totient is φ = 3711851520.

The previous prime is 13946398909. The next prime is 13946398931. The reversal of 13946398920 is 2989364931.

13946398920 is a `hidden beast` number, since 1 + 3 + 9 + 463 + 98 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13946398909) and next prime (13946398931).

It can be written as a sum of positive squares in 4 ways, for example, as 6081192324 + 7865206596 = 77982^2 + 88686^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150382 + ... + 224738.

Almost surely, 2^13946398920 is an apocalyptic number.

13946398920 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 13946398920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22706702460).

13946398920 is an abundant number, since it is smaller than the sum of its proper divisors (31467006000).

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

13946398920 is a wasteful number, since it uses less digits than its factorization.

13946398920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74895 (or 74888 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 13946398920 in words is "thirteen billion, nine hundred forty-six million, three hundred ninety-eight thousand, nine hundred twenty".