216140526430464 has 288 divisors, whose sum is σ = 613947574195200. Its totient is φ = 67383019929600.

The previous prime is 216140526430463. The next prime is 216140526430519. The reversal of 216140526430464 is 464034625041612.

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

It is not an unprimeable number, because it can be changed into a prime (216140526430463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130430134 + ... + 132076874.

It is an arithmetic number, because the mean of its divisors is an integer number (2131762410400).

Almost surely, 2^{216140526430464} is an apocalyptic number.

216140526430464 is a gapful number since it is divisible by the number (24) 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 216140526430464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306973787097600).

216140526430464 is an abundant number, since it is smaller than the sum of its proper divisors (397807047764736).

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

216140526430464 is a wasteful number, since it uses less digits than its factorization.

216140526430464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646977 (or 1646963 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 216140526430464 in words is "two hundred sixteen trillion, one hundred forty billion, five hundred twenty-six million, four hundred thirty thousand, four hundred sixty-four".