88343774064 has 640 divisors, whose sum is σ = 335558522880. Its totient is φ = 21590654976.

The previous prime is 88343774041. The next prime is 88343774093. The reversal of 88343774064 is 46047734388.

88343774064 = T₁₂₀ + T₁₂₁ + ... + T₈₀₉₂.

88343774064 is a `hidden beast` number, since 8 + 83 + 437 + 74 + 0 + 64 = 666.

It is a super-3 number, since 3×88343774064³ (a number of 34 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 88343774064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44775382 + ... + 44777354.

It is an arithmetic number, because the mean of its divisors is an integer number (524310192).

Almost surely, 2^88343774064 is an apocalyptic number.

88343774064 is a gapful number since it is divisible by the number (84) 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 88343774064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167779261440).

88343774064 is an abundant number, since it is smaller than the sum of its proper divisors (247214748816).

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

88343774064 is a wasteful number, since it uses less digits than its factorization.

88343774064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 88343774064 in words is "eighty-eight billion, three hundred forty-three million, seven hundred seventy-four thousand, sixty-four".