215430034512 has 320 divisors, whose sum is σ = 718034042880. Its totient is φ = 54014860800.

The previous prime is 215430034489. The next prime is 215430034553.

215430034512 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×215430034512² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 215430034512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50296723 + ... + 50301005.

It is an arithmetic number, because the mean of its divisors is an integer number (2243856384).

Almost surely, 2^215430034512 is an apocalyptic number.

215430034512 is a gapful number since it is divisible by the number (22) 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 215430034512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359017021440).

215430034512 is an abundant number, since it is smaller than the sum of its proper divisors (502604008368).

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

215430034512 is a wasteful number, since it uses less digits than its factorization.

215430034512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4782 (or 4776 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

It can be divided in two parts, 2154300 and 34512, that added together give a palindrome (2188812).

The spelling of 215430034512 in words is "two hundred fifteen billion, four hundred thirty million, thirty-four thousand, five hundred twelve".