155649149568 has 288 divisors, whose sum is σ = 493308597600. Its totient is φ = 47071411200.

The previous prime is 155649149507. The next prime is 155649149581. The reversal of 155649149568 is 865941946551.

155649149568 is a `hidden beast` number, since 1 + 5 + 5 + 64 + 9 + 1 + 4 + 9 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×155649149568² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 103009933 + ... + 103011443.

It is an arithmetic number, because the mean of its divisors is an integer number (1712877075).

Almost surely, 2^155649149568 is an apocalyptic number.

155649149568 is a gapful number since it is divisible by the number (18) 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 155649149568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246654298800).

155649149568 is an abundant number, since it is smaller than the sum of its proper divisors (337659448032).

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

155649149568 is a wasteful number, since it uses less digits than its factorization.

155649149568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292 (or 2266 counting only the distinct ones).

The product of its digits is 46656000, while the sum is 63.

The spelling of 155649149568 in words is "one hundred fifty-five billion, six hundred forty-nine million, one hundred forty-nine thousand, five hundred sixty-eight".