13813348770 has 160 divisors (see below), whose sum is σ = 40071976560. Its totient is φ = 3394068480.

The previous prime is 13813348753. The next prime is 13813348777. The reversal of 13813348770 is 7784331831.

13813348770 is a `hidden beast` number, since 1 + 38 + 133 + 487 + 7 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 494573121 + 13318775649 = 22239^2 + 115407^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13813348777) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9276186 + ... + 9277674.

Almost surely, 2^13813348770 is an apocalyptic number.

13813348770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13813348770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20035988280).

13813348770 is an abundant number, since it is smaller than the sum of its proper divisors (26258627790).

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

13813348770 is a wasteful number, since it uses less digits than its factorization.

13813348770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 13813348770 in words is "thirteen billion, eight hundred thirteen million, three hundred forty-eight thousand, seven hundred seventy".