552040146348912 has 1120 divisors, whose sum is σ = 1811675001628800. Its totient is φ = 161741861019648.

The previous prime is 552040146348869. The next prime is 552040146348923. The reversal of 552040146348912 is 219843641040255.

552040146348912 is a `hidden beast` number, since 5 + 5 + 2 + 0 + 4 + 0 + 146 + 3 + 489 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 130536802414 + ... + 130536806642.

It is an arithmetic number, because the mean of its divisors is an integer number (1617566965740).

Almost surely, 2^{552040146348912} is an apocalyptic number.

552040146348912 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 552040146348912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905837500814400).

552040146348912 is an abundant number, since it is smaller than the sum of its proper divisors (1259634855279888).

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

552040146348912 is a wasteful number, since it uses less digits than its factorization.

552040146348912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4797 (or 4776 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 552040146348912 in words is "five hundred fifty-two trillion, forty billion, one hundred forty-six million, three hundred forty-eight thousand, nine hundred twelve".