13956219000 has 384 divisors, whose sum is σ = 49606502400. Its totient is φ = 3669494400.

The previous prime is 13956218993. The next prime is 13956219023. The reversal of 13956219000 is 91265931.

13956219000 is a `hidden beast` number, since 1 + 3 + 9 + 562 + 1 + 90 + 0 + 0 = 666.

It is a super-2 number, since 2×13956219000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19196637 + ... + 19197363.

It is an arithmetic number, because the mean of its divisors is an integer number (129183600).

Almost surely, 2^13956219000 is an apocalyptic number.

13956219000 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 13956219000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24803251200).

13956219000 is an abundant number, since it is smaller than the sum of its proper divisors (35650283400).

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

13956219000 is an equidigital number, since it uses as much as digits as its factorization.

13956219000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 13956219000 in words is "thirteen billion, nine hundred fifty-six million, two hundred nineteen thousand".