216416901024 has 36 divisors (see below), whose sum is σ = 615435563106. Its totient is φ = 72138966912.

The previous prime is 216416901007. The next prime is 216416901101. The reversal of 216416901024 is 420109614612.

216416901024 is a `hidden beast` number, since 2 + 1 + 641 + 6 + 9 + 0 + 1 + 0 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 210405690000 + 6011211024 = 458700^2 + 77532^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 216416901024.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 375723499 + ... + 375724074.

Almost surely, 2^216416901024 is an apocalyptic number.

216416901024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

216416901024 is an abundant number, since it is smaller than the sum of its proper divisors (399018662082).

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

216416901024 is a wasteful number, since it uses less digits than its factorization.

216416901024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751447589 (or 751447578 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 216416901024 in words is "two hundred sixteen billion, four hundred sixteen million, nine hundred one thousand, twenty-four".