11714877046080 has 672 divisors, whose sum is σ = 45072490829184. Its totient is φ = 2879083782144.

The previous prime is 11714877046013. The next prime is 11714877046087. The reversal of 11714877046080 is 8064077841711.

11714877046080 is a `hidden beast` number, since 1 + 1 + 71 + 48 + 7 + 70 + 460 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11714877046087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 660095767 + ... + 660113513.

It is an arithmetic number, because the mean of its divisors is an integer number (67072158972).

Almost surely, 2^{11714877046080} is an apocalyptic number.

11714877046080 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 11714877046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22536245414592).

11714877046080 is an abundant number, since it is smaller than the sum of its proper divisors (33357613783104).

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

11714877046080 is a wasteful number, since it uses less digits than its factorization.

11714877046080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18445 (or 18423 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 54.

The spelling of 11714877046080 in words is "eleven trillion, seven hundred fourteen billion, eight hundred seventy-seven million, forty-six thousand, eighty".