150648398208 has 1024 divisors, whose sum is σ = 582937344000. Its totient is φ = 37623398400.

The previous prime is 150648398183. The next prime is 150648398209. The reversal of 150648398208 is 802893846051.

150648398208 is a `hidden beast` number, since 1 + 5 + 0 + 6 + 48 + 398 + 208 = 666.

It is a super-2 number, since 2×150648398208² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150648398209) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 625096968 + ... + 625097208.

It is an arithmetic number, because the mean of its divisors is an integer number (569274750).

Almost surely, 2^150648398208 is an apocalyptic number.

150648398208 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 150648398208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291468672000).

150648398208 is an abundant number, since it is smaller than the sum of its proper divisors (432288945792).

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

150648398208 is an equidigital number, since it uses as much as digits as its factorization.

150648398208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 150648398208 in words is "one hundred fifty billion, six hundred forty-eight million, three hundred ninety-eight thousand, two hundred eight".