153214545412352 has 72 divisors (see below), whose sum is σ = 308940248550360. Its totient is φ = 75828739276800.

The previous prime is 153214545412349. The next prime is 153214545412363. The reversal of 153214545412352 is 253214545412351.

It can be written as a sum of positive squares in 4 ways, for example, as 9306306789376 + 143908238622976 = 3050624^2 + 11996176^2 .

It is a junction number, because it is equal to n+sod(n) for n = 153214545412297 and 153214545412306.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 97290674 + ... + 98852942.

Almost surely, 2^{153214545412352} 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 153214545412352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154470124275180).

153214545412352 is an abundant number, since it is smaller than the sum of its proper divisors (155725703138008).

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

153214545412352 is a wasteful number, since it uses less digits than its factorization.

153214545412352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566179 (or 1566165 counting only the distinct ones).

The product of its digits is 2880000, while the sum is 47.

Subtracting 153214545412352 from its reverse (253214545412351), we obtain a palindrome (99999999999999).

The spelling of 153214545412352 in words is "one hundred fifty-three trillion, two hundred fourteen billion, five hundred forty-five million, four hundred twelve thousand, three hundred fifty-two".