13870733746496 has 112 divisors (see below), whose sum is σ = 30547397376000. Its totient is φ = 6195686653440.

The previous prime is 13870733746477. The next prime is 13870733746549. The reversal of 13870733746496 is 69464733707831.

It is a super-3 number, since 3×13870733746496³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112874975 + ... + 112997793.

Almost surely, 2^{13870733746496} is an apocalyptic number.

13870733746496 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 13870733746496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15273698688000).

13870733746496 is an abundant number, since it is smaller than the sum of its proper divisors (16676663629504).

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

13870733746496 is a wasteful number, since it uses less digits than its factorization.

13870733746496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125620 (or 125610 counting only the distinct ones).

The product of its (nonzero) digits is 384072192, while the sum is 68.

The spelling of 13870733746496 in words is "thirteen trillion, eight hundred seventy billion, seven hundred thirty-three million, seven hundred forty-six thousand, four hundred ninety-six".