54649646352 has 480 divisors, whose sum is σ = 185709002752. Its totient is φ = 15237476352.

The previous prime is 54649646347. The next prime is 54649646369. The reversal of 54649646352 is 25364694645.

54649646352 is a `hidden beast` number, since 5 + 46 + 4 + 96 + 463 + 52 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 335273823 + ... + 335273985.

Almost surely, 2^54649646352 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 54649646352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92854501376).

54649646352 is an abundant number, since it is smaller than the sum of its proper divisors (131059356400).

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

54649646352 is a wasteful number, since it uses less digits than its factorization.

54649646352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 399 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 54649646352 in words is "fifty-four billion, six hundred forty-nine million, six hundred forty-six thousand, three hundred fifty-two".