128213595744 has 192 divisors, whose sum is σ = 372220821504. Its totient is φ = 38398703616.

The previous prime is 128213595721. The next prime is 128213595767. The reversal of 128213595744 is 447595312821.

It is an interprime number because it is at equal distance from previous prime (128213595721) and next prime (128213595767).

It is a super-2 number, since 2×128213595744² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8392657 + ... + 8407919.

It is an arithmetic number, because the mean of its divisors is an integer number (1938650112).

Almost surely, 2^128213595744 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 128213595744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186110410752).

128213595744 is an abundant number, since it is smaller than the sum of its proper divisors (244007225760).

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

128213595744 is a wasteful number, since it uses less digits than its factorization.

128213595744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15469 (or 15461 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 51.

The spelling of 128213595744 in words is "one hundred twenty-eight billion, two hundred thirteen million, five hundred ninety-five thousand, seven hundred forty-four".