153909982464 has 288 divisors, whose sum is σ = 504267423744. Its totient is φ = 40704491520.

The previous prime is 153909982427. The next prime is 153909982469. The reversal of 153909982464 is 464289909351.

153909982464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×153909982464² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 153909982398 and 153909982407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153909982469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3813012 + ... + 3853164.

Almost surely, 2^153909982464 is an apocalyptic number.

153909982464 is a gapful number since it is divisible by the number (14) 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 153909982464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252133711872).

153909982464 is an abundant number, since it is smaller than the sum of its proper divisors (350357441280).

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

153909982464 is a wasteful number, since it uses less digits than its factorization.

153909982464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40233 (or 40219 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 60.

The spelling of 153909982464 in words is "one hundred fifty-three billion, nine hundred nine million, nine hundred eighty-two thousand, four hundred sixty-four".