6164354051328 has 1152 divisors, whose sum is σ = 20648918384640. Its totient is φ = 1609445376000.

The previous prime is 6164354051327. The next prime is 6164354051341. The reversal of 6164354051328 is 8231504534616.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6164354051327) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6981147975 + ... + 6981148857.

It is an arithmetic number, because the mean of its divisors is an integer number (17924408320).

Almost surely, 2^{6164354051328} 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 6164354051328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10324459192320).

6164354051328 is an abundant number, since it is smaller than the sum of its proper divisors (14484564333312).

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

6164354051328 is a wasteful number, since it uses less digits than its factorization.

6164354051328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 6164354051328 in words is "six trillion, one hundred sixty-four billion, three hundred fifty-four million, fifty-one thousand, three hundred twenty-eight".