153298797915648 has 640 divisors, whose sum is σ = 525769164619776. Its totient is φ = 38520719769600.

The previous prime is 153298797915647. The next prime is 153298797915689. The reversal of 153298797915648 is 846519797892351.

It is a super-3 number, since 3×153298797915648³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153298797915647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16524604386 + ... + 16524613662.

Almost surely, 2^{153298797915648} 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 153298797915648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262884582309888).

153298797915648 is an abundant number, since it is smaller than the sum of its proper divisors (372470366704128).

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

153298797915648 is a wasteful number, since it uses less digits than its factorization.

153298797915648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13854 (or 13838 counting only the distinct ones).

The product of its digits is 8230118400, while the sum is 84.

The spelling of 153298797915648 in words is "one hundred fifty-three trillion, two hundred ninety-eight billion, seven hundred ninety-seven million, nine hundred fifteen thousand, six hundred forty-eight".