13967954000 has 320 divisors, whose sum is σ = 45354097152. Its totient is φ = 4018176000.

The previous prime is 13967953973. The next prime is 13967954009. The reversal of 13967954000 is 45976931.

It is a super-2 number, since 2×13967954000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13967954009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1998512 + ... + 2005488.

Almost surely, 2^13967954000 is an apocalyptic number.

13967954000 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 13967954000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22677048576).

13967954000 is an abundant number, since it is smaller than the sum of its proper divisors (31386143152).

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

13967954000 is a wasteful number, since it uses less digits than its factorization.

13967954000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7031 (or 7015 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 44.

The spelling of 13967954000 in words is "thirteen billion, nine hundred sixty-seven million, nine hundred fifty-four thousand".