77382184012128 has 1728 divisors, whose sum is σ = 266522343639552. Its totient is φ = 21958966149120.

The previous prime is 77382184012109. The next prime is 77382184012141. The reversal of 77382184012128 is 82121048128377.

77382184012128 is a `hidden beast` number, since 7 + 7 + 3 + 8 + 2 + 18 + 401 + 212 + 8 = 666.

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

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 135520462083 + ... + 135520462653.

It is an arithmetic number, because the mean of its divisors is an integer number (154237467384).

Almost surely, 2^{77382184012128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77382184012128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133261171819776).

77382184012128 is an abundant number, since it is smaller than the sum of its proper divisors (189140159627424).

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

77382184012128 is a wasteful number, since it uses less digits than its factorization.

77382184012128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 77382184012128 in words is "seventy-seven trillion, three hundred eighty-two billion, one hundred eighty-four million, twelve thousand, one hundred twenty-eight".