11945677887504 has 675 divisors, whose sum is σ = 37937524309839. Its totient is φ = 3628235099520.

The previous prime is 11945677887491. The next prime is 11945677887547. The reversal of 11945677887504 is 40578877654911.

The square root of 11945677887504 is 3456252.

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

11945677887504 is a `hidden beast` number, since 1 + 1 + 9 + 4 + 567 + 7 + 8 + 8 + 7 + 50 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 134 ways as a sum of consecutive naturals, for example, 73286367327 + ... + 73286367489.

Almost surely, 2^{11945677887504} is an apocalyptic number.

11945677887504 is the 3456252-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11945677887504

11945677887504 is an abundant number, since it is smaller than the sum of its proper divisors (25991846422335).

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

11945677887504 is an equidigital number, since it uses as much as digits as its factorization.

11945677887504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 474163200, while the sum is 72.

The spelling of 11945677887504 in words is "eleven trillion, nine hundred forty-five billion, six hundred seventy-seven million, eight hundred eighty-seven thousand, five hundred four".