13449740500 has 216 divisors, whose sum is σ = 35206077816. Its totient is φ = 4475520000.

The previous prime is 13449740471. The next prime is 13449740581. The reversal of 13449740500 is 504794431.

It can be written as a sum of positive squares in 12 ways, for example, as 532963396 + 12916777104 = 23086^2 + 113652^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 13449740500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33540300 + ... + 33540700.

It is an arithmetic number, because the mean of its divisors is an integer number (162991101).

Almost surely, 2^13449740500 is an apocalyptic number.

13449740500 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 13449740500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17603038908).

13449740500 is an abundant number, since it is smaller than the sum of its proper divisors (21756337316).

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

13449740500 is a wasteful number, since it uses less digits than its factorization.

13449740500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 13449740500 in words is "thirteen billion, four hundred forty-nine million, seven hundred forty thousand, five hundred".