54197432352 has 648 divisors, whose sum is σ = 193821653844. Its totient is φ = 14318567424.

The previous prime is 54197432347. The next prime is 54197432357. The reversal of 54197432352 is 25323479145.

It is a happy number.

54197432352 is a `hidden beast` number, since 541 + 9 + 74 + 3 + 2 + 35 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (54197432347) and next prime (54197432357).

It can be written as a sum of positive squares in 6 ways, for example, as 43013100816 + 11184331536 = 207396^2 + 105756^2 .

It is a junction number, because it is equal to n+sod(n) for n = 54197432298 and 54197432307.

It is not an unprimeable number, because it can be changed into a prime (54197432357) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 395601628 + ... + 395601764.

Almost surely, 2^54197432352 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 54197432352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96910826922).

54197432352 is an abundant number, since it is smaller than the sum of its proper divisors (139624221492).

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

54197432352 is a wasteful number, since it uses less digits than its factorization.

54197432352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 263 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 54197432352 in words is "fifty-four billion, one hundred ninety-seven million, four hundred thirty-two thousand, three hundred fifty-two".