218061072432 has 240 divisors, whose sum is σ = 729865711200. Its totient is φ = 62152634880.

The previous prime is 218061072377. The next prime is 218061072497. The reversal of 218061072432 is 234270160812.

It is a happy number.

218061072432 is a `hidden beast` number, since 2 + 1 + 8 + 0 + 610 + 7 + 2 + 4 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8899494 + ... + 8923962.

It is an arithmetic number, because the mean of its divisors is an integer number (3041107130).

Almost surely, 2^218061072432 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 218061072432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364932855600).

218061072432 is an abundant number, since it is smaller than the sum of its proper divisors (511804638768).

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

218061072432 is a wasteful number, since it uses less digits than its factorization.

218061072432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24921 (or 24902 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 218061072432 in words is "two hundred eighteen billion, sixty-one million, seventy-two thousand, four hundred thirty-two".