551331248832 has 336 divisors, whose sum is σ = 1951168494912. Its totient is φ = 144942981120.

The previous prime is 551331248771. The next prime is 551331248833. The reversal of 551331248832 is 238842133155.

551331248832 is a `hidden beast` number, since 5 + 5 + 133 + 1 + 2 + 488 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×551331248832² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (551331248833) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16599282 + ... + 16632462.

It is an arithmetic number, because the mean of its divisors is an integer number (5807049092).

Almost surely, 2^551331248832 is an apocalyptic number.

551331248832 is a gapful number since it is divisible by the number (52) 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 551331248832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975584247456).

551331248832 is an abundant number, since it is smaller than the sum of its proper divisors (1399837246080).

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

551331248832 is a wasteful number, since it uses less digits than its factorization.

551331248832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33536 (or 33523 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 551331248832 in words is "five hundred fifty-one billion, three hundred thirty-one million, two hundred forty-eight thousand, eight hundred thirty-two".