4654356016128 has 528 divisors, whose sum is σ = 16359105208320. Its totient is φ = 1162906730496.

The previous prime is 4654356016111. The next prime is 4654356016159. The reversal of 4654356016128 is 8216106534564.

It is a super-2 number, since 2×4654356016128² (a number of 26 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 37117825 + ... + 37243007.

Almost surely, 2^{4654356016128} is an apocalyptic number.

4654356016128 is a gapful number since it is divisible by the number (48) 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 4654356016128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8179552604160).

4654356016128 is an abundant number, since it is smaller than the sum of its proper divisors (11704749192192).

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

4654356016128 is a wasteful number, since it uses less digits than its factorization.

4654356016128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125252 (or 125227 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 4654356016128 in words is "four trillion, six hundred fifty-four billion, three hundred fifty-six million, sixteen thousand, one hundred twenty-eight".