54346089672 has 256 divisors, whose sum is σ = 180956160000. Its totient is φ = 14775830784.

The previous prime is 54346089667. The next prime is 54346089781. The reversal of 54346089672 is 27698064345.

54346089672 is a `hidden beast` number, since 5 + 43 + 460 + 89 + 67 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6916498 + ... + 6924350.

It is an arithmetic number, because the mean of its divisors is an integer number (706860000).

Almost surely, 2^54346089672 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 54346089672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90478080000).

54346089672 is an abundant number, since it is smaller than the sum of its proper divisors (126610070328).

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

54346089672 is a wasteful number, since it uses less digits than its factorization.

54346089672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8097 (or 8087 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 54346089672 in words is "fifty-four billion, three hundred forty-six million, eighty-nine thousand, six hundred seventy-two".