13873777461504 has 243 divisors, whose sum is σ = 40595182339257. Its totient is φ = 4556950990848.

The previous prime is 13873777461461. The next prime is 13873777461517. The reversal of 13873777461504 is 40516477737831.

The square root of 13873777461504 is 3724752.

It is a perfect power (a square), and thus also a powerful number.

13873777461504 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 3 + 7 + 7 + 7 + 4 + 615 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7875431942400 + 5998345519104 = 2806320^2 + 2449152^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13051530477 + ... + 13051531539.

Almost surely, 2^{13873777461504} is an apocalyptic number.

13873777461504 is the 3724752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13873777461504

13873777461504 is an abundant number, since it is smaller than the sum of its proper divisors (26721404877753).

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

13873777461504 is an frugal number, since it uses more digits than its factorization.

13873777461504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2294 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 82978560, while the sum is 63.

The spelling of 13873777461504 in words is "thirteen trillion, eight hundred seventy-three billion, seven hundred seventy-seven million, four hundred sixty-one thousand, five hundred four".