13790739456 has 704 divisors, whose sum is σ = 48613138560. Its totient is φ = 3822059520.

The previous prime is 13790739449. The next prime is 13790739491. The reversal of 13790739456 is 65493709731.

It is a happy number.

13790739456 is a `hidden beast` number, since 1 + 37 + 90 + 73 + 9 + 456 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 226077666 + ... + 226077726.

Almost surely, 2^13790739456 is an apocalyptic number.

13790739456 is a gapful number since it is divisible by the number (16) 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 13790739456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24306569280).

13790739456 is an abundant number, since it is smaller than the sum of its proper divisors (34822399104).

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

13790739456 is a wasteful number, since it uses less digits than its factorization.

13790739456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 13790739456 in words is "thirteen billion, seven hundred ninety million, seven hundred thirty-nine thousand, four hundred fifty-six".