13745770864056 has 768 divisors, whose sum is σ = 49638251520000. Its totient is φ = 3328524057600.

The previous prime is 13745770864051. The next prime is 13745770864057. The reversal of 13745770864056 is 65046807754731.

13745770864056 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 577 + 0 + 8 + 6 + 4 + 0 + 56 = 666.

It is a super-2 number, since 2×13745770864056² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 13745770863984 and 13745770864002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13745770864051) 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, 4928564710 + ... + 4928567498.

It is an arithmetic number, because the mean of its divisors is an integer number (64633140000).

Almost surely, 2^{13745770864056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13745770864056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24819125760000).

13745770864056 is an abundant number, since it is smaller than the sum of its proper divisors (35892480655944).

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

13745770864056 is a wasteful number, since it uses less digits than its factorization.

13745770864056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3568 (or 3561 counting only the distinct ones).

The product of its (nonzero) digits is 118540800, while the sum is 63.

The spelling of 13745770864056 in words is "thirteen trillion, seven hundred forty-five billion, seven hundred seventy million, eight hundred sixty-four thousand, fifty-six".