208149341652 has 576 divisors, whose sum is σ = 698419814400. Its totient is φ = 53221432320.

The previous prime is 208149341641. The next prime is 208149341663. The reversal of 208149341652 is 256143941802.

208149341652 is a `hidden beast` number, since 20 + 81 + 4 + 93 + 416 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (208149341641) and next prime (208149341663).

It is a super-2 number, since 2×208149341652² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 208149341598 and 208149341607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 134029708 + ... + 134031260.

It is an arithmetic number, because the mean of its divisors is an integer number (1212534400).

Almost surely, 2^208149341652 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 208149341652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349209907200).

208149341652 is an abundant number, since it is smaller than the sum of its proper divisors (490270472748).

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

208149341652 is a wasteful number, since it uses less digits than its factorization.

208149341652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 208149341652 in words is "two hundred eight billion, one hundred forty-nine million, three hundred forty-one thousand, six hundred fifty-two".