13703710456000 has 224 divisors, whose sum is σ = 35171718027264. Its totient is φ = 5283504000000.

The previous prime is 13703710455989. The next prime is 13703710456021. The reversal of 13703710456000 is 65401730731.

It is a super-4 number, since 4×13703710456000⁴ (a number of 54 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62137927 + ... + 62358073.

It is an arithmetic number, because the mean of its divisors is an integer number (157016598336).

Almost surely, 2^{13703710456000} is an apocalyptic number.

13703710456000 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 13703710456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17585859013632).

13703710456000 is an abundant number, since it is smaller than the sum of its proper divisors (21468007571264).

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

13703710456000 is a wasteful number, since it uses less digits than its factorization.

13703710456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220456 (or 220436 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 37.

The spelling of 13703710456000 in words is "thirteen trillion, seven hundred three billion, seven hundred ten million, four hundred fifty-six thousand".