551353450144 has 96 divisors (see below), whose sum is σ = 1283661388800. Its totient is φ = 228086046720.

The previous prime is 551353450133. The next prime is 551353450157. The reversal of 551353450144 is 441054353155.

551353450144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 551353450097 and 551353450106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31373392 + ... + 31390960.

It is an arithmetic number, because the mean of its divisors is an integer number (13371472800).

Almost surely, 2^551353450144 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 551353450144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641830694400).

551353450144 is an abundant number, since it is smaller than the sum of its proper divisors (732307938656).

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

551353450144 is a wasteful number, since it uses less digits than its factorization.

551353450144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22446 (or 22438 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 40.

The spelling of 551353450144 in words is "five hundred fifty-one billion, three hundred fifty-three million, four hundred fifty thousand, one hundred forty-four".