13749021000 has 640 divisors, whose sum is σ = 56510213760. Its totient is φ = 3074112000.

The previous prime is 13749020981. The next prime is 13749021071. The reversal of 13749021000 is 12094731.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11582407 + ... + 11583593.

It is an arithmetic number, because the mean of its divisors is an integer number (88297209).

Almost surely, 2^13749021000 is an apocalyptic number.

13749021000 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 13749021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28255106880).

13749021000 is an abundant number, since it is smaller than the sum of its proper divisors (42761192760).

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

13749021000 is a wasteful number, since it uses less digits than its factorization.

13749021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 13749021000 in words is "thirteen billion, seven hundred forty-nine million, twenty-one thousand".