13906722436920 has 768 divisors, whose sum is σ = 49870440547200. Its totient is φ = 3480343511040.

The previous prime is 13906722436877. The next prime is 13906722436921. The reversal of 13906722436920 is 2963422760931.

13906722436920 is a `hidden beast` number, since 1 + 39 + 0 + 6 + 7 + 224 + 369 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13906722436921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1312321062 + ... + 1312331658.

Almost surely, 2^{13906722436920} is an apocalyptic number.

13906722436920 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 13906722436920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24935220273600).

13906722436920 is an abundant number, since it is smaller than the sum of its proper divisors (35963718110280).

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

13906722436920 is a wasteful number, since it uses less digits than its factorization.

13906722436920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10790 (or 10774 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 13906722436920 in words is "thirteen trillion, nine hundred six billion, seven hundred twenty-two million, four hundred thirty-six thousand, nine hundred twenty".