892748888064 has 1152 divisors, whose sum is σ = 3105726624000. Its totient is φ = 252742533120.

The previous prime is 892748888063. The next prime is 892748888111. The reversal of 892748888064 is 460888847298.

892748888064 is a `hidden beast` number, since 8 + 9 + 2 + 7 + 488 + 8 + 80 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 892748887983 and 892748888001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (892748888063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8343447499 + ... + 8343447605.

It is an arithmetic number, because the mean of its divisors is an integer number (2695943250).

Almost surely, 2^892748888064 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 892748888064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552863312000).

892748888064 is an abundant number, since it is smaller than the sum of its proper divisors (2212977735936).

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

892748888064 is a wasteful number, since it uses less digits than its factorization.

892748888064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 396361728, while the sum is 72.

The spelling of 892748888064 in words is "eight hundred ninety-two billion, seven hundred forty-eight million, eight hundred eighty-eight thousand, sixty-four".