13964893020 has 192 divisors, whose sum is σ = 48298414080. Its totient is φ = 3326572800.

The previous prime is 13964892983. The next prime is 13964893039. The reversal of 13964893020 is 2039846931.

It is a happy number.

13964893020 is a `hidden beast` number, since 139 + 6 + 489 + 30 + 2 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 63 ways as a sum of consecutive naturals, for example, 185535 + ... + 249705.

It is an arithmetic number, because the mean of its divisors is an integer number (251554240).

Almost surely, 2^13964893020 is an apocalyptic number.

13964893020 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 13964893020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24149207040).

13964893020 is an abundant number, since it is smaller than the sum of its proper divisors (34333521060).

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

13964893020 is a wasteful number, since it uses less digits than its factorization.

13964893020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64233 (or 64225 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 13964893020 in words is "thirteen billion, nine hundred sixty-four million, eight hundred ninety-three thousand, twenty".