153850212864 has 140 divisors (see below), whose sum is σ = 460890186966. Its totient is φ = 51283279872.

The previous prime is 153850212863. The next prime is 153850212869. The reversal of 153850212864 is 468212058351.

153850212864 is a `hidden beast` number, since 1 + 53 + 8 + 502 + 12 + 86 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 103580985600 + 50269227264 = 321840^2 + 224208^2 .

It is a super-2 number, since 2×153850212864² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (153850212863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 167152 + ... + 579344.

Almost surely, 2^153850212864 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 153850212864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230445093483).

153850212864 is an abundant number, since it is smaller than the sum of its proper divisors (307039974102).

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

153850212864 is an frugal number, since it uses more digits than its factorization.

153850212864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412229 (or 412198 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 153850212864 in words is "one hundred fifty-three billion, eight hundred fifty million, two hundred twelve thousand, eight hundred sixty-four".